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Finding the Third Proportional to 285,906.50 and 420,543.50

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Solution

The third proportional to 285,906.50 and 420,543.50 is: 618,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,906.50 : 420,543.50 = 420,543.50 : x
  2. Step 2: Convert to fraction form
    285,906.50/420,543.50 = 420,543.50/x
  3. Step 3: Cross multiply
    285,906.50x = 420,543.50 × 420,543.50
  4. Step 4: Simplify right side
    285,906.50x = 176,856,835,392.25
  5. Step 5: Solve for x
    x = 176,856,835,392.25/285,906.50
  6. Step 6: Final answer
    x = 618,582.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.