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Finding the Third Proportional to 314,018 and 687,751

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Solution

The third proportional to 314,018 and 687,751 is: 1,506,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,018 : 687,751 = 687,751 : x
  2. Step 2: Convert to fraction form
    314,018/687,751 = 687,751/x
  3. Step 3: Cross multiply
    314,018x = 687,751 × 687,751
  4. Step 4: Simplify right side
    314,018x = 473,001,438,001
  5. Step 5: Solve for x
    x = 473,001,438,001/314,018
  6. Step 6: Final answer
    x = 1,506,287.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.