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Finding the Third Proportional to 285,778 and 431,260

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Solution

The third proportional to 285,778 and 431,260 is: 650,803.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,778 : 431,260 = 431,260 : x
  2. Step 2: Convert to fraction form
    285,778/431,260 = 431,260/x
  3. Step 3: Cross multiply
    285,778x = 431,260 × 431,260
  4. Step 4: Simplify right side
    285,778x = 185,985,187,600
  5. Step 5: Solve for x
    x = 185,985,187,600/285,778
  6. Step 6: Final answer
    x = 650,803.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.