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Finding the Third Proportional to 38,024,940 and 82,111,431

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Solution

The third proportional to 38,024,940 and 82,111,431 is: 177,312,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024,940 : 82,111,431 = 82,111,431 : x
  2. Step 2: Convert to fraction form
    38,024,940/82,111,431 = 82,111,431/x
  3. Step 3: Cross multiply
    38,024,940x = 82,111,431 × 82,111,431
  4. Step 4: Simplify right side
    38,024,940x = 6,742,287,100,867,761
  5. Step 5: Solve for x
    x = 6,742,287,100,867,761/38,024,940
  6. Step 6: Final answer
    x = 177,312,235.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.