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Finding the Third Proportional to 386,386.13 and 839,305.13

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Solution

The third proportional to 386,386.13 and 839,305.13 is: 1,823,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,386.13 : 839,305.13 = 839,305.13 : x
  2. Step 2: Convert to fraction form
    386,386.13/839,305.13 = 839,305.13/x
  3. Step 3: Cross multiply
    386,386.13x = 839,305.13 × 839,305.13
  4. Step 4: Simplify right side
    386,386.13x = 704,433,092,851.27
  5. Step 5: Solve for x
    x = 704,433,092,851.27/386,386.13
  6. Step 6: Final answer
    x = 1,823,132.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.