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Finding the Third Proportional to 391,798 and 581,937

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Solution

The third proportional to 391,798 and 581,937 is: 864,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,798 : 581,937 = 581,937 : x
  2. Step 2: Convert to fraction form
    391,798/581,937 = 581,937/x
  3. Step 3: Cross multiply
    391,798x = 581,937 × 581,937
  4. Step 4: Simplify right side
    391,798x = 338,650,671,969
  5. Step 5: Solve for x
    x = 338,650,671,969/391,798
  6. Step 6: Final answer
    x = 864,350.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.