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Finding the Third Proportional to 99,574 and 157,747

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Solution

The third proportional to 99,574 and 157,747 is: 249,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,574 : 157,747 = 157,747 : x
  2. Step 2: Convert to fraction form
    99,574/157,747 = 157,747/x
  3. Step 3: Cross multiply
    99,574x = 157,747 × 157,747
  4. Step 4: Simplify right side
    99,574x = 24,884,116,009
  5. Step 5: Solve for x
    x = 24,884,116,009/99,574
  6. Step 6: Final answer
    x = 249,905.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.