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Finding the Third Proportional to 251,535 and 380,542.50

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Solution

The third proportional to 251,535 and 380,542.50 is: 575,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,535 : 380,542.50 = 380,542.50 : x
  2. Step 2: Convert to fraction form
    251,535/380,542.50 = 380,542.50/x
  3. Step 3: Cross multiply
    251,535x = 380,542.50 × 380,542.50
  4. Step 4: Simplify right side
    251,535x = 144,812,594,306.25
  5. Step 5: Solve for x
    x = 144,812,594,306.25/251,535
  6. Step 6: Final answer
    x = 575,715.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.