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Finding the Third Proportional to 120,144,517.50 and 186,119,634

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Solution

The third proportional to 120,144,517.50 and 186,119,634 is: 288,323,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,144,517.50 : 186,119,634 = 186,119,634 : x
  2. Step 2: Convert to fraction form
    120,144,517.50/186,119,634 = 186,119,634/x
  3. Step 3: Cross multiply
    120,144,517.50x = 186,119,634 × 186,119,634
  4. Step 4: Simplify right side
    120,144,517.50x = 34,640,518,160,293,956
  5. Step 5: Solve for x
    x = 34,640,518,160,293,956/120,144,517.50
  6. Step 6: Final answer
    x = 288,323,752.77

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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.