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Finding the Third Proportional to 195,530,746 and 424,691,765

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Solution

The third proportional to 195,530,746 and 424,691,765 is: 922,428,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,530,746 : 424,691,765 = 424,691,765 : x
  2. Step 2: Convert to fraction form
    195,530,746/424,691,765 = 424,691,765/x
  3. Step 3: Cross multiply
    195,530,746x = 424,691,765 × 424,691,765
  4. Step 4: Simplify right side
    195,530,746x = 180,363,095,258,815,232
  5. Step 5: Solve for x
    x = 180,363,095,258,815,232/195,530,746
  6. Step 6: Final answer
    x = 922,428,308.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.