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Finding the Third Proportional to 488,814.75 and 730,446.19

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Solution

The third proportional to 488,814.75 and 730,446.19 is: 1,091,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,814.75 : 730,446.19 = 730,446.19 : x
  2. Step 2: Convert to fraction form
    488,814.75/730,446.19 = 730,446.19/x
  3. Step 3: Cross multiply
    488,814.75x = 730,446.19 × 730,446.19
  4. Step 4: Simplify right side
    488,814.75x = 533,551,632,833.29
  5. Step 5: Solve for x
    x = 533,551,632,833.29/488,814.75
  6. Step 6: Final answer
    x = 1,091,521.14

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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.