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Finding the Third Proportional to 557,778 and 837,940

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Solution

The third proportional to 557,778 and 837,940 is: 1,258,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,778 : 837,940 = 837,940 : x
  2. Step 2: Convert to fraction form
    557,778/837,940 = 837,940/x
  3. Step 3: Cross multiply
    557,778x = 837,940 × 837,940
  4. Step 4: Simplify right side
    557,778x = 702,143,443,600
  5. Step 5: Solve for x
    x = 702,143,443,600/557,778
  6. Step 6: Final answer
    x = 1,258,822.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.