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Finding the Third Proportional to 768,406 and 1,155,088.50

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Solution

The third proportional to 768,406 and 1,155,088.50 is: 1,736,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,406 : 1,155,088.50 = 1,155,088.50 : x
  2. Step 2: Convert to fraction form
    768,406/1,155,088.50 = 1,155,088.50/x
  3. Step 3: Cross multiply
    768,406x = 1,155,088.50 × 1,155,088.50
  4. Step 4: Simplify right side
    768,406x = 1,334,229,442,832.25
  5. Step 5: Solve for x
    x = 1,334,229,442,832.25/768,406
  6. Step 6: Final answer
    x = 1,736,360.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.