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Finding the Third Proportional to 175,142.25 and 280,938.38

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Solution

The third proportional to 175,142.25 and 280,938.38 is: 450,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,142.25 : 280,938.38 = 280,938.38 : x
  2. Step 2: Convert to fraction form
    175,142.25/280,938.38 = 280,938.38/x
  3. Step 3: Cross multiply
    175,142.25x = 280,938.38 × 280,938.38
  4. Step 4: Simplify right side
    175,142.25x = 78,926,370,547.64
  5. Step 5: Solve for x
    x = 78,926,370,547.64/175,142.25
  6. Step 6: Final answer
    x = 450,641.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.