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Finding the Third Proportional to 488,872.13 and 730,469.81

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Solution

The third proportional to 488,872.13 and 730,469.81 is: 1,091,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,872.13 : 730,469.81 = 730,469.81 : x
  2. Step 2: Convert to fraction form
    488,872.13/730,469.81 = 730,469.81/x
  3. Step 3: Cross multiply
    488,872.13x = 730,469.81 × 730,469.81
  4. Step 4: Simplify right side
    488,872.13x = 533,586,146,973.79
  5. Step 5: Solve for x
    x = 533,586,146,973.79/488,872.13
  6. Step 6: Final answer
    x = 1,091,463.64

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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.