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Finding the Third Proportional to 42,366 and 93,196.50

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Solution

The third proportional to 42,366 and 93,196.50 is: 205,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,366 : 93,196.50 = 93,196.50 : x
  2. Step 2: Convert to fraction form
    42,366/93,196.50 = 93,196.50/x
  3. Step 3: Cross multiply
    42,366x = 93,196.50 × 93,196.50
  4. Step 4: Simplify right side
    42,366x = 8,685,587,612.25
  5. Step 5: Solve for x
    x = 8,685,587,612.25/42,366
  6. Step 6: Final answer
    x = 205,013.16

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