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Finding the Third Proportional to 386,235 and 557,209.13

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Solution

The third proportional to 386,235 and 557,209.13 is: 803,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,235 : 557,209.13 = 557,209.13 : x
  2. Step 2: Convert to fraction form
    386,235/557,209.13 = 557,209.13/x
  3. Step 3: Cross multiply
    386,235x = 557,209.13 × 557,209.13
  4. Step 4: Simplify right side
    386,235x = 310,482,008,983.27
  5. Step 5: Solve for x
    x = 310,482,008,983.27/386,235
  6. Step 6: Final answer
    x = 803,868.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.