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Finding the Third Proportional to 82,340,542 and 121,115,805

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Solution

The third proportional to 82,340,542 and 121,115,805 is: 178,150,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,340,542 : 121,115,805 = 121,115,805 : x
  2. Step 2: Convert to fraction form
    82,340,542/121,115,805 = 121,115,805/x
  3. Step 3: Cross multiply
    82,340,542x = 121,115,805 × 121,115,805
  4. Step 4: Simplify right side
    82,340,542x = 14,669,038,220,798,024
  5. Step 5: Solve for x
    x = 14,669,038,220,798,024/82,340,542
  6. Step 6: Final answer
    x = 178,150,858.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.