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Finding the Third Proportional to 615,066 and 865,770

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Solution

The third proportional to 615,066 and 865,770 is: 1,218,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,066 : 865,770 = 865,770 : x
  2. Step 2: Convert to fraction form
    615,066/865,770 = 865,770/x
  3. Step 3: Cross multiply
    615,066x = 865,770 × 865,770
  4. Step 4: Simplify right side
    615,066x = 749,557,692,900
  5. Step 5: Solve for x
    x = 749,557,692,900/615,066
  6. Step 6: Final answer
    x = 1,218,662.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.