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Finding the Third Proportional to 424,179.75 and 909,079.50

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Solution

The third proportional to 424,179.75 and 909,079.50 is: 1,948,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,179.75 : 909,079.50 = 909,079.50 : x
  2. Step 2: Convert to fraction form
    424,179.75/909,079.50 = 909,079.50/x
  3. Step 3: Cross multiply
    424,179.75x = 909,079.50 × 909,079.50
  4. Step 4: Simplify right side
    424,179.75x = 826,425,537,320.25
  5. Step 5: Solve for x
    x = 826,425,537,320.25/424,179.75
  6. Step 6: Final answer
    x = 1,948,290.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.