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Finding the Third Proportional to 286,159.13 and 388,642.13

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Solution

The third proportional to 286,159.13 and 388,642.13 is: 527,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,159.13 : 388,642.13 = 388,642.13 : x
  2. Step 2: Convert to fraction form
    286,159.13/388,642.13 = 388,642.13/x
  3. Step 3: Cross multiply
    286,159.13x = 388,642.13 × 388,642.13
  4. Step 4: Simplify right side
    286,159.13x = 151,042,701,324.52
  5. Step 5: Solve for x
    x = 151,042,701,324.52/286,159.13
  6. Step 6: Final answer
    x = 527,827.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.