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Finding the Third Proportional to 145,524 and 316,960

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Solution

The third proportional to 145,524 and 316,960 is: 690,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,524 : 316,960 = 316,960 : x
  2. Step 2: Convert to fraction form
    145,524/316,960 = 316,960/x
  3. Step 3: Cross multiply
    145,524x = 316,960 × 316,960
  4. Step 4: Simplify right side
    145,524x = 100,463,641,600
  5. Step 5: Solve for x
    x = 100,463,641,600/145,524
  6. Step 6: Final answer
    x = 690,357.89

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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.