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Finding the Third Proportional to 532,072.50 and 782,556

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Solution

The third proportional to 532,072.50 and 782,556 is: 1,150,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,072.50 : 782,556 = 782,556 : x
  2. Step 2: Convert to fraction form
    532,072.50/782,556 = 782,556/x
  3. Step 3: Cross multiply
    532,072.50x = 782,556 × 782,556
  4. Step 4: Simplify right side
    532,072.50x = 612,393,893,136
  5. Step 5: Solve for x
    x = 612,393,893,136/532,072.50
  6. Step 6: Final answer
    x = 1,150,959.49

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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.