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Finding the Third Proportional to 314,102 and 686,866

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Solution

The third proportional to 314,102 and 686,866 is: 1,502,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,102 : 686,866 = 686,866 : x
  2. Step 2: Convert to fraction form
    314,102/686,866 = 686,866/x
  3. Step 3: Cross multiply
    314,102x = 686,866 × 686,866
  4. Step 4: Simplify right side
    314,102x = 471,784,901,956
  5. Step 5: Solve for x
    x = 471,784,901,956/314,102
  6. Step 6: Final answer
    x = 1,502,011.77

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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.