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Finding the Third Proportional to 285,352 and 427,248

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Solution

The third proportional to 285,352 and 427,248 is: 639,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,352 : 427,248 = 427,248 : x
  2. Step 2: Convert to fraction form
    285,352/427,248 = 427,248/x
  3. Step 3: Cross multiply
    285,352x = 427,248 × 427,248
  4. Step 4: Simplify right side
    285,352x = 182,540,853,504
  5. Step 5: Solve for x
    x = 182,540,853,504/285,352
  6. Step 6: Final answer
    x = 639,704.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.