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Finding the Third Proportional to 67,521 and 145,509

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Solution

The third proportional to 67,521 and 145,509 is: 313,574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,521 : 145,509 = 145,509 : x
  2. Step 2: Convert to fraction form
    67,521/145,509 = 145,509/x
  3. Step 3: Cross multiply
    67,521x = 145,509 × 145,509
  4. Step 4: Simplify right side
    67,521x = 21,172,869,081
  5. Step 5: Solve for x
    x = 21,172,869,081/67,521
  6. Step 6: Final answer
    x = 313,574.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.