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Finding the Third Proportional to 488,973.38 and 747,991.13

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Solution

The third proportional to 488,973.38 and 747,991.13 is: 1,144,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,973.38 : 747,991.13 = 747,991.13 : x
  2. Step 2: Convert to fraction form
    488,973.38/747,991.13 = 747,991.13/x
  3. Step 3: Cross multiply
    488,973.38x = 747,991.13 × 747,991.13
  4. Step 4: Simplify right side
    488,973.38x = 559,490,723,078.77
  5. Step 5: Solve for x
    x = 559,490,723,078.77/488,973.38
  6. Step 6: Final answer
    x = 1,144,215.11

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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.