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Finding the Third Proportional to 615,146 and 827,715

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Solution

The third proportional to 615,146 and 827,715 is: 1,113,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,146 : 827,715 = 827,715 : x
  2. Step 2: Convert to fraction form
    615,146/827,715 = 827,715/x
  3. Step 3: Cross multiply
    615,146x = 827,715 × 827,715
  4. Step 4: Simplify right side
    615,146x = 685,112,121,225
  5. Step 5: Solve for x
    x = 685,112,121,225/615,146
  6. Step 6: Final answer
    x = 1,113,739.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.