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Finding the Third Proportional to 199,153.69 and 431,507.25

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Solution

The third proportional to 199,153.69 and 431,507.25 is: 934,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,153.69 : 431,507.25 = 431,507.25 : x
  2. Step 2: Convert to fraction form
    199,153.69/431,507.25 = 431,507.25/x
  3. Step 3: Cross multiply
    199,153.69x = 431,507.25 × 431,507.25
  4. Step 4: Simplify right side
    199,153.69x = 186,198,506,802.56
  5. Step 5: Solve for x
    x = 186,198,506,802.56/199,153.69
  6. Step 6: Final answer
    x = 934,948.83

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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.