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Finding the Third Proportional to 285,754 and 431,223

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Solution

The third proportional to 285,754 and 431,223 is: 650,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,754 : 431,223 = 431,223 : x
  2. Step 2: Convert to fraction form
    285,754/431,223 = 431,223/x
  3. Step 3: Cross multiply
    285,754x = 431,223 × 431,223
  4. Step 4: Simplify right side
    285,754x = 185,953,275,729
  5. Step 5: Solve for x
    x = 185,953,275,729/285,754
  6. Step 6: Final answer
    x = 650,746.01

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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.