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Finding the Third Proportional to 61,078.50 and 93,434

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Solution

The third proportional to 61,078.50 and 93,434 is: 142,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,078.50 : 93,434 = 93,434 : x
  2. Step 2: Convert to fraction form
    61,078.50/93,434 = 93,434/x
  3. Step 3: Cross multiply
    61,078.50x = 93,434 × 93,434
  4. Step 4: Simplify right side
    61,078.50x = 8,729,912,356
  5. Step 5: Solve for x
    x = 8,729,912,356/61,078.50
  6. Step 6: Final answer
    x = 142,929.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.