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Finding the Third Proportional to 314,012 and 687,739

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Solution

The third proportional to 314,012 and 687,739 is: 1,506,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,012 : 687,739 = 687,739 : x
  2. Step 2: Convert to fraction form
    314,012/687,739 = 687,739/x
  3. Step 3: Cross multiply
    314,012x = 687,739 × 687,739
  4. Step 4: Simplify right side
    314,012x = 472,984,932,121
  5. Step 5: Solve for x
    x = 472,984,932,121/314,012
  6. Step 6: Final answer
    x = 1,506,263.88

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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.