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Finding the Third Proportional to 388,374.75 and 524,721.38

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Solution

The third proportional to 388,374.75 and 524,721.38 is: 708,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,374.75 : 524,721.38 = 524,721.38 : x
  2. Step 2: Convert to fraction form
    388,374.75/524,721.38 = 524,721.38/x
  3. Step 3: Cross multiply
    388,374.75x = 524,721.38 × 524,721.38
  4. Step 4: Simplify right side
    388,374.75x = 275,332,521,381.89
  5. Step 5: Solve for x
    x = 275,332,521,381.89/388,374.75
  6. Step 6: Final answer
    x = 708,935.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.