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Finding the Third Proportional to 314,842.50 and 679,438

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Solution

The third proportional to 314,842.50 and 679,438 is: 1,466,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,842.50 : 679,438 = 679,438 : x
  2. Step 2: Convert to fraction form
    314,842.50/679,438 = 679,438/x
  3. Step 3: Cross multiply
    314,842.50x = 679,438 × 679,438
  4. Step 4: Simplify right side
    314,842.50x = 461,635,995,844
  5. Step 5: Solve for x
    x = 461,635,995,844/314,842.50
  6. Step 6: Final answer
    x = 1,466,244.22

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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.