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Finding the Third Proportional to 150,376,678.50 and 239,278,854.75

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Solution

The third proportional to 150,376,678.50 and 239,278,854.75 is: 380,739,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,376,678.50 : 239,278,854.75 = 239,278,854.75 : x
  2. Step 2: Convert to fraction form
    150,376,678.50/239,278,854.75 = 239,278,854.75/x
  3. Step 3: Cross multiply
    150,376,678.50x = 239,278,854.75 × 239,278,854.75
  4. Step 4: Simplify right side
    150,376,678.50x = 57,254,370,330,471,600
  5. Step 5: Solve for x
    x = 57,254,370,330,471,600/150,376,678.50
  6. Step 6: Final answer
    x = 380,739,692.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.