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Finding the Third Proportional to 153,103 and 217,747

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Solution

The third proportional to 153,103 and 217,747 is: 309,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,103 : 217,747 = 217,747 : x
  2. Step 2: Convert to fraction form
    153,103/217,747 = 217,747/x
  3. Step 3: Cross multiply
    153,103x = 217,747 × 217,747
  4. Step 4: Simplify right side
    153,103x = 47,413,756,009
  5. Step 5: Solve for x
    x = 47,413,756,009/153,103
  6. Step 6: Final answer
    x = 309,685.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.