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Finding the Third Proportional to 501.40 and 771.66

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Solution

The third proportional to 501.40 and 771.66 is: 1,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.40 : 771.66 = 771.66 : x
  2. Step 2: Convert to fraction form
    501.40/771.66 = 771.66/x
  3. Step 3: Cross multiply
    501.40x = 771.66 × 771.66
  4. Step 4: Simplify right side
    501.40x = 595,462.41
  5. Step 5: Solve for x
    x = 595,462.41/501.40
  6. Step 6: Final answer
    x = 1,187.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.