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Finding the Third Proportional to 145,632 and 316,884

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Solution

The third proportional to 145,632 and 316,884 is: 689,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,632 : 316,884 = 316,884 : x
  2. Step 2: Convert to fraction form
    145,632/316,884 = 316,884/x
  3. Step 3: Cross multiply
    145,632x = 316,884 × 316,884
  4. Step 4: Simplify right side
    145,632x = 100,415,469,456
  5. Step 5: Solve for x
    x = 100,415,469,456/145,632
  6. Step 6: Final answer
    x = 689,515.14

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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.