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Finding the Third Proportional to 611,719 and 921,115

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Solution

The third proportional to 611,719 and 921,115 is: 1,386,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,719 : 921,115 = 921,115 : x
  2. Step 2: Convert to fraction form
    611,719/921,115 = 921,115/x
  3. Step 3: Cross multiply
    611,719x = 921,115 × 921,115
  4. Step 4: Simplify right side
    611,719x = 848,452,843,225
  5. Step 5: Solve for x
    x = 848,452,843,225/611,719
  6. Step 6: Final answer
    x = 1,386,997.70

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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.