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Finding the Third Proportional to 285,742.50 and 391,831

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Solution

The third proportional to 285,742.50 and 391,831 is: 537,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,742.50 : 391,831 = 391,831 : x
  2. Step 2: Convert to fraction form
    285,742.50/391,831 = 391,831/x
  3. Step 3: Cross multiply
    285,742.50x = 391,831 × 391,831
  4. Step 4: Simplify right side
    285,742.50x = 153,531,532,561
  5. Step 5: Solve for x
    x = 153,531,532,561/285,742.50
  6. Step 6: Final answer
    x = 537,307.30

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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.