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Finding the Third Proportional to 285,120 and 417,312

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Solution

The third proportional to 285,120 and 417,312 is: 610,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,120 : 417,312 = 417,312 : x
  2. Step 2: Convert to fraction form
    285,120/417,312 = 417,312/x
  3. Step 3: Cross multiply
    285,120x = 417,312 × 417,312
  4. Step 4: Simplify right side
    285,120x = 174,149,305,344
  5. Step 5: Solve for x
    x = 174,149,305,344/285,120
  6. Step 6: Final answer
    x = 610,793.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.