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Finding the Third Proportional to 287,043.75 and 410,882.63

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Solution

The third proportional to 287,043.75 and 410,882.63 is: 588,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,043.75 : 410,882.63 = 410,882.63 : x
  2. Step 2: Convert to fraction form
    287,043.75/410,882.63 = 410,882.63/x
  3. Step 3: Cross multiply
    287,043.75x = 410,882.63 × 410,882.63
  4. Step 4: Simplify right side
    287,043.75x = 168,824,531,526.89
  5. Step 5: Solve for x
    x = 168,824,531,526.89/287,043.75
  6. Step 6: Final answer
    x = 588,149.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.