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Finding the Third Proportional to 101,036,686.50 and 140,769,549

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Solution

The third proportional to 101,036,686.50 and 140,769,549 is: 196,127,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,036,686.50 : 140,769,549 = 140,769,549 : x
  2. Step 2: Convert to fraction form
    101,036,686.50/140,769,549 = 140,769,549/x
  3. Step 3: Cross multiply
    101,036,686.50x = 140,769,549 × 140,769,549
  4. Step 4: Simplify right side
    101,036,686.50x = 19,816,065,925,663,400
  5. Step 5: Solve for x
    x = 19,816,065,925,663,400/101,036,686.50
  6. Step 6: Final answer
    x = 196,127,432.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.