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Finding the Third Proportional to 99,580 and 157,756

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Solution

The third proportional to 99,580 and 157,756 is: 249,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,580 : 157,756 = 157,756 : x
  2. Step 2: Convert to fraction form
    99,580/157,756 = 157,756/x
  3. Step 3: Cross multiply
    99,580x = 157,756 × 157,756
  4. Step 4: Simplify right side
    99,580x = 24,886,955,536
  5. Step 5: Solve for x
    x = 24,886,955,536/99,580
  6. Step 6: Final answer
    x = 249,919.22

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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.