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Finding the Third Proportional to 42,654.19 and 66,905.81

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Solution

The third proportional to 42,654.19 and 66,905.81 is: 104,946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,654.19 : 66,905.81 = 66,905.81 : x
  2. Step 2: Convert to fraction form
    42,654.19/66,905.81 = 66,905.81/x
  3. Step 3: Cross multiply
    42,654.19x = 66,905.81 × 66,905.81
  4. Step 4: Simplify right side
    42,654.19x = 4,476,387,746.29
  5. Step 5: Solve for x
    x = 4,476,387,746.29/42,654.19
  6. Step 6: Final answer
    x = 104,946.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.