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Finding the Third Proportional to 532,332 and 804,045

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Solution

The third proportional to 532,332 and 804,045 is: 1,214,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,332 : 804,045 = 804,045 : x
  2. Step 2: Convert to fraction form
    532,332/804,045 = 804,045/x
  3. Step 3: Cross multiply
    532,332x = 804,045 × 804,045
  4. Step 4: Simplify right side
    532,332x = 646,488,362,025
  5. Step 5: Solve for x
    x = 646,488,362,025/532,332
  6. Step 6: Final answer
    x = 1,214,445.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.