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Finding the Third Proportional to 437,031 and 686,709

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Solution

The third proportional to 437,031 and 686,709 is: 1,079,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,031 : 686,709 = 686,709 : x
  2. Step 2: Convert to fraction form
    437,031/686,709 = 686,709/x
  3. Step 3: Cross multiply
    437,031x = 686,709 × 686,709
  4. Step 4: Simplify right side
    437,031x = 471,569,250,681
  5. Step 5: Solve for x
    x = 471,569,250,681/437,031
  6. Step 6: Final answer
    x = 1,079,029.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.