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Finding the Third Proportional to 144,528 and 313,892

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Solution

The third proportional to 144,528 and 313,892 is: 681,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,528 : 313,892 = 313,892 : x
  2. Step 2: Convert to fraction form
    144,528/313,892 = 313,892/x
  3. Step 3: Cross multiply
    144,528x = 313,892 × 313,892
  4. Step 4: Simplify right side
    144,528x = 98,528,187,664
  5. Step 5: Solve for x
    x = 98,528,187,664/144,528
  6. Step 6: Final answer
    x = 681,723.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.