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Finding the Third Proportional to 32,042,488 and 68,862,432

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Solution

The third proportional to 32,042,488 and 68,862,432 is: 147,992,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,042,488 : 68,862,432 = 68,862,432 : x
  2. Step 2: Convert to fraction form
    32,042,488/68,862,432 = 68,862,432/x
  3. Step 3: Cross multiply
    32,042,488x = 68,862,432 × 68,862,432
  4. Step 4: Simplify right side
    32,042,488x = 4,742,034,540,954,624
  5. Step 5: Solve for x
    x = 4,742,034,540,954,624/32,042,488
  6. Step 6: Final answer
    x = 147,992,082.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.