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Finding the Third Proportional to 314,478 and 679,020

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Solution

The third proportional to 314,478 and 679,020 is: 1,466,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,478 : 679,020 = 679,020 : x
  2. Step 2: Convert to fraction form
    314,478/679,020 = 679,020/x
  3. Step 3: Cross multiply
    314,478x = 679,020 × 679,020
  4. Step 4: Simplify right side
    314,478x = 461,068,160,400
  5. Step 5: Solve for x
    x = 461,068,160,400/314,478
  6. Step 6: Final answer
    x = 1,466,138.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.