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Finding the Third Proportional to 291,979.69 and 392,860.13

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Solution

The third proportional to 291,979.69 and 392,860.13 is: 528,595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,979.69 : 392,860.13 = 392,860.13 : x
  2. Step 2: Convert to fraction form
    291,979.69/392,860.13 = 392,860.13/x
  3. Step 3: Cross multiply
    291,979.69x = 392,860.13 × 392,860.13
  4. Step 4: Simplify right side
    291,979.69x = 154,339,077,815.02
  5. Step 5: Solve for x
    x = 154,339,077,815.02/291,979.69
  6. Step 6: Final answer
    x = 528,595.26

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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.