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Finding the Third Proportional to 97,132,350 and 149,450,109

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Solution

The third proportional to 97,132,350 and 149,450,109 is: 229,947,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,132,350 : 149,450,109 = 149,450,109 : x
  2. Step 2: Convert to fraction form
    97,132,350/149,450,109 = 149,450,109/x
  3. Step 3: Cross multiply
    97,132,350x = 149,450,109 × 149,450,109
  4. Step 4: Simplify right side
    97,132,350x = 22,335,335,080,111,880
  5. Step 5: Solve for x
    x = 22,335,335,080,111,880/97,132,350
  6. Step 6: Final answer
    x = 229,947,438.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.