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Finding the Third Proportional to 616,108 and 915,126

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Solution

The third proportional to 616,108 and 915,126 is: 1,359,267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,108 : 915,126 = 915,126 : x
  2. Step 2: Convert to fraction form
    616,108/915,126 = 915,126/x
  3. Step 3: Cross multiply
    616,108x = 915,126 × 915,126
  4. Step 4: Simplify right side
    616,108x = 837,455,595,876
  5. Step 5: Solve for x
    x = 837,455,595,876/616,108
  6. Step 6: Final answer
    x = 1,359,267.52

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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.