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Finding the Third Proportional to 291,498 and 637,498

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Solution

The third proportional to 291,498 and 637,498 is: 1,394,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,498 : 637,498 = 637,498 : x
  2. Step 2: Convert to fraction form
    291,498/637,498 = 637,498/x
  3. Step 3: Cross multiply
    291,498x = 637,498 × 637,498
  4. Step 4: Simplify right side
    291,498x = 406,403,700,004
  5. Step 5: Solve for x
    x = 406,403,700,004/291,498
  6. Step 6: Final answer
    x = 1,394,190.35

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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.