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Finding the Third Proportional to 235,415,119.50 and 387,635,574.38

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Solution

The third proportional to 235,415,119.50 and 387,635,574.38 is: 638,282,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,415,119.50 : 387,635,574.38 = 387,635,574.38 : x
  2. Step 2: Convert to fraction form
    235,415,119.50/387,635,574.38 = 387,635,574.38/x
  3. Step 3: Cross multiply
    235,415,119.50x = 387,635,574.38 × 387,635,574.38
  4. Step 4: Simplify right side
    235,415,119.50x = 150,261,338,521,036,160
  5. Step 5: Solve for x
    x = 150,261,338,521,036,160/235,415,119.50
  6. Step 6: Final answer
    x = 638,282,446.94

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.