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Finding the Third Proportional to 437,379 and 653,791

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Solution

The third proportional to 437,379 and 653,791 is: 977,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,379 : 653,791 = 653,791 : x
  2. Step 2: Convert to fraction form
    437,379/653,791 = 653,791/x
  3. Step 3: Cross multiply
    437,379x = 653,791 × 653,791
  4. Step 4: Simplify right side
    437,379x = 427,442,671,681
  5. Step 5: Solve for x
    x = 427,442,671,681/437,379
  6. Step 6: Final answer
    x = 977,282.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.