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Finding the Third Proportional to 615,699 and 921,078

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Solution

The third proportional to 615,699 and 921,078 is: 1,377,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,699 : 921,078 = 921,078 : x
  2. Step 2: Convert to fraction form
    615,699/921,078 = 921,078/x
  3. Step 3: Cross multiply
    615,699x = 921,078 × 921,078
  4. Step 4: Simplify right side
    615,699x = 848,384,682,084
  5. Step 5: Solve for x
    x = 848,384,682,084/615,699
  6. Step 6: Final answer
    x = 1,377,921.16

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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.