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Finding the Third Proportional to 42,783.19 and 94,132.13

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Solution

The third proportional to 42,783.19 and 94,132.13 is: 207,110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,783.19 : 94,132.13 = 94,132.13 : x
  2. Step 2: Convert to fraction form
    42,783.19/94,132.13 = 94,132.13/x
  3. Step 3: Cross multiply
    42,783.19x = 94,132.13 × 94,132.13
  4. Step 4: Simplify right side
    42,783.19x = 8,860,856,957.02
  5. Step 5: Solve for x
    x = 8,860,856,957.02/42,783.19
  6. Step 6: Final answer
    x = 207,110.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.