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Finding the Third Proportional to 615,616 and 1,318,820

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Solution

The third proportional to 615,616 and 1,318,820 is: 2,825,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,616 : 1,318,820 = 1,318,820 : x
  2. Step 2: Convert to fraction form
    615,616/1,318,820 = 1,318,820/x
  3. Step 3: Cross multiply
    615,616x = 1,318,820 × 1,318,820
  4. Step 4: Simplify right side
    615,616x = 1,739,286,192,400
  5. Step 5: Solve for x
    x = 1,739,286,192,400/615,616
  6. Step 6: Final answer
    x = 2,825,277.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.