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Finding the Third Proportional to 57,407 and 90,511.50

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Solution

The third proportional to 57,407 and 90,511.50 is: 142,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,407 : 90,511.50 = 90,511.50 : x
  2. Step 2: Convert to fraction form
    57,407/90,511.50 = 90,511.50/x
  3. Step 3: Cross multiply
    57,407x = 90,511.50 × 90,511.50
  4. Step 4: Simplify right side
    57,407x = 8,192,331,632.25
  5. Step 5: Solve for x
    x = 8,192,331,632.25/57,407
  6. Step 6: Final answer
    x = 142,706.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.