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Finding the Third Proportional to 657,985 and 991,842

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Solution

The third proportional to 657,985 and 991,842 is: 1,495,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,985 : 991,842 = 991,842 : x
  2. Step 2: Convert to fraction form
    657,985/991,842 = 991,842/x
  3. Step 3: Cross multiply
    657,985x = 991,842 × 991,842
  4. Step 4: Simplify right side
    657,985x = 983,750,552,964
  5. Step 5: Solve for x
    x = 983,750,552,964/657,985
  6. Step 6: Final answer
    x = 1,495,095.71

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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.