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Finding the Third Proportional to 42,720.75 and 93,484.13

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Solution

The third proportional to 42,720.75 and 93,484.13 is: 204,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,720.75 : 93,484.13 = 93,484.13 : x
  2. Step 2: Convert to fraction form
    42,720.75/93,484.13 = 93,484.13/x
  3. Step 3: Cross multiply
    42,720.75x = 93,484.13 × 93,484.13
  4. Step 4: Simplify right side
    42,720.75x = 8,739,281,627.02
  5. Step 5: Solve for x
    x = 8,739,281,627.02/42,720.75
  6. Step 6: Final answer
    x = 204,567.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.