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Finding the Third Proportional to 78,393,180 and 121,875,197

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Solution

The third proportional to 78,393,180 and 121,875,197 is: 189,475,202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,393,180 : 121,875,197 = 121,875,197 : x
  2. Step 2: Convert to fraction form
    78,393,180/121,875,197 = 121,875,197/x
  3. Step 3: Cross multiply
    78,393,180x = 121,875,197 × 121,875,197
  4. Step 4: Simplify right side
    78,393,180x = 14,853,563,643,788,808
  5. Step 5: Solve for x
    x = 14,853,563,643,788,808/78,393,180
  6. Step 6: Final answer
    x = 189,475,202.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.