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Finding the Third Proportional to 97,132,403 and 149,450,196

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Solution

The third proportional to 97,132,403 and 149,450,196 is: 229,947,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,132,403 : 149,450,196 = 149,450,196 : x
  2. Step 2: Convert to fraction form
    97,132,403/149,450,196 = 149,450,196/x
  3. Step 3: Cross multiply
    97,132,403x = 149,450,196 × 149,450,196
  4. Step 4: Simplify right side
    97,132,403x = 22,335,361,084,438,416
  5. Step 5: Solve for x
    x = 22,335,361,084,438,416/97,132,403
  6. Step 6: Final answer
    x = 229,947,580.77

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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.