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Finding the Third Proportional to 657,988 and 991,846

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Solution

The third proportional to 657,988 and 991,846 is: 1,495,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,988 : 991,846 = 991,846 : x
  2. Step 2: Convert to fraction form
    657,988/991,846 = 991,846/x
  3. Step 3: Cross multiply
    657,988x = 991,846 × 991,846
  4. Step 4: Simplify right side
    657,988x = 983,758,487,716
  5. Step 5: Solve for x
    x = 983,758,487,716/657,988
  6. Step 6: Final answer
    x = 1,495,100.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.