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Finding the Third Proportional to 145,578 and 316,782

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Solution

The third proportional to 145,578 and 316,782 is: 689,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,578 : 316,782 = 316,782 : x
  2. Step 2: Convert to fraction form
    145,578/316,782 = 316,782/x
  3. Step 3: Cross multiply
    145,578x = 316,782 × 316,782
  4. Step 4: Simplify right side
    145,578x = 100,350,835,524
  5. Step 5: Solve for x
    x = 100,350,835,524/145,578
  6. Step 6: Final answer
    x = 689,326.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.