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Finding the Third Proportional to 721,383,238.75 and 1,575,582,420.25

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Solution

The third proportional to 721,383,238.75 and 1,575,582,420.25 is: 3,441,249,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,383,238.75 : 1,575,582,420.25 = 1,575,582,420.25 : x
  2. Step 2: Convert to fraction form
    721,383,238.75/1,575,582,420.25 = 1,575,582,420.25/x
  3. Step 3: Cross multiply
    721,383,238.75x = 1,575,582,420.25 × 1,575,582,420.25
  4. Step 4: Simplify right side
    721,383,238.75x = 2,482,459,963,000,847,360
  5. Step 5: Solve for x
    x = 2,482,459,963,000,847,360/721,383,238.75
  6. Step 6: Final answer
    x = 3,441,249,851.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.