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Finding the Third Proportional to 532.13 and 777.38

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Solution

The third proportional to 532.13 and 777.38 is: 1,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.13 : 777.38 = 777.38 : x
  2. Step 2: Convert to fraction form
    532.13/777.38 = 777.38/x
  3. Step 3: Cross multiply
    532.13x = 777.38 × 777.38
  4. Step 4: Simplify right side
    532.13x = 604,311.89
  5. Step 5: Solve for x
    x = 604,311.89/532.13
  6. Step 6: Final answer
    x = 1,135.66

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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.