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Finding the Third Proportional to 615,776.12 and 980,579.57

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Solution

The third proportional to 615,776.12 and 980,579.57 is: 1,561,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,776.12 : 980,579.57 = 980,579.57 : x
  2. Step 2: Convert to fraction form
    615,776.12/980,579.57 = 980,579.57/x
  3. Step 3: Cross multiply
    615,776.12x = 980,579.57 × 980,579.57
  4. Step 4: Simplify right side
    615,776.12x = 961,536,298,981.10
  5. Step 5: Solve for x
    x = 961,536,298,981.10/615,776.12
  6. Step 6: Final answer
    x = 1,561,503.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.