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Finding the Third Proportional to 657,940 and 991,770

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Solution

The third proportional to 657,940 and 991,770 is: 1,494,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,940 : 991,770 = 991,770 : x
  2. Step 2: Convert to fraction form
    657,940/991,770 = 991,770/x
  3. Step 3: Cross multiply
    657,940x = 991,770 × 991,770
  4. Step 4: Simplify right side
    657,940x = 983,607,732,900
  5. Step 5: Solve for x
    x = 983,607,732,900/657,940
  6. Step 6: Final answer
    x = 1,494,980.90

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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.