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Finding the Third Proportional to 285,795 and 392,242.50

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Solution

The third proportional to 285,795 and 392,242.50 is: 538,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,795 : 392,242.50 = 392,242.50 : x
  2. Step 2: Convert to fraction form
    285,795/392,242.50 = 392,242.50/x
  3. Step 3: Cross multiply
    285,795x = 392,242.50 × 392,242.50
  4. Step 4: Simplify right side
    285,795x = 153,854,178,806.25
  5. Step 5: Solve for x
    x = 153,854,178,806.25/285,795
  6. Step 6: Final answer
    x = 538,337.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.