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Finding the Third Proportional to 142,578 and 312,372

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Solution

The third proportional to 142,578 and 312,372 is: 684,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,578 : 312,372 = 312,372 : x
  2. Step 2: Convert to fraction form
    142,578/312,372 = 312,372/x
  3. Step 3: Cross multiply
    142,578x = 312,372 × 312,372
  4. Step 4: Simplify right side
    142,578x = 97,576,266,384
  5. Step 5: Solve for x
    x = 97,576,266,384/142,578
  6. Step 6: Final answer
    x = 684,371.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.