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Finding the Third Proportional to 175,430.81 and 278,893.13

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Solution

The third proportional to 175,430.81 and 278,893.13 is: 443,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,430.81 : 278,893.13 = 278,893.13 : x
  2. Step 2: Convert to fraction form
    175,430.81/278,893.13 = 278,893.13/x
  3. Step 3: Cross multiply
    175,430.81x = 278,893.13 × 278,893.13
  4. Step 4: Simplify right side
    175,430.81x = 77,781,375,172.27
  5. Step 5: Solve for x
    x = 77,781,375,172.27/175,430.81
  6. Step 6: Final answer
    x = 443,373.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.