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Finding the Third Proportional to 424,644 and 651,709

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Solution

The third proportional to 424,644 and 651,709 is: 1,000,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,644 : 651,709 = 651,709 : x
  2. Step 2: Convert to fraction form
    424,644/651,709 = 651,709/x
  3. Step 3: Cross multiply
    424,644x = 651,709 × 651,709
  4. Step 4: Simplify right side
    424,644x = 424,724,620,681
  5. Step 5: Solve for x
    x = 424,724,620,681/424,644
  6. Step 6: Final answer
    x = 1,000,189.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.