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Finding the Third Proportional to 679,743 and 1,480,820

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Solution

The third proportional to 679,743 and 1,480,820 is: 3,225,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,743 : 1,480,820 = 1,480,820 : x
  2. Step 2: Convert to fraction form
    679,743/1,480,820 = 1,480,820/x
  3. Step 3: Cross multiply
    679,743x = 1,480,820 × 1,480,820
  4. Step 4: Simplify right side
    679,743x = 2,192,827,872,400
  5. Step 5: Solve for x
    x = 2,192,827,872,400/679,743
  6. Step 6: Final answer
    x = 3,225,966.10

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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.