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Finding the Third Proportional to 152,877 and 312,558

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Solution

The third proportional to 152,877 and 312,558 is: 639,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,877 : 312,558 = 312,558 : x
  2. Step 2: Convert to fraction form
    152,877/312,558 = 312,558/x
  3. Step 3: Cross multiply
    152,877x = 312,558 × 312,558
  4. Step 4: Simplify right side
    152,877x = 97,692,503,364
  5. Step 5: Solve for x
    x = 97,692,503,364/152,877
  6. Step 6: Final answer
    x = 639,026.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.