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Finding the Third Proportional to 99,471 and 157,509

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Solution

The third proportional to 99,471 and 157,509 is: 249,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,471 : 157,509 = 157,509 : x
  2. Step 2: Convert to fraction form
    99,471/157,509 = 157,509/x
  3. Step 3: Cross multiply
    99,471x = 157,509 × 157,509
  4. Step 4: Simplify right side
    99,471x = 24,809,085,081
  5. Step 5: Solve for x
    x = 24,809,085,081/99,471
  6. Step 6: Final answer
    x = 249,410.23

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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.