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Finding the Third Proportional to 532,090 and 782,575

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Solution

The third proportional to 532,090 and 782,575 is: 1,150,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,090 : 782,575 = 782,575 : x
  2. Step 2: Convert to fraction form
    532,090/782,575 = 782,575/x
  3. Step 3: Cross multiply
    532,090x = 782,575 × 782,575
  4. Step 4: Simplify right side
    532,090x = 612,423,630,625
  5. Step 5: Solve for x
    x = 612,423,630,625/532,090
  6. Step 6: Final answer
    x = 1,150,977.52

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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.