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Finding the Third Proportional to 142,887 and 319,605

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Solution

The third proportional to 142,887 and 319,605 is: 714,882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,887 : 319,605 = 319,605 : x
  2. Step 2: Convert to fraction form
    142,887/319,605 = 319,605/x
  3. Step 3: Cross multiply
    142,887x = 319,605 × 319,605
  4. Step 4: Simplify right side
    142,887x = 102,147,356,025
  5. Step 5: Solve for x
    x = 102,147,356,025/142,887
  6. Step 6: Final answer
    x = 714,882.08

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.