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Finding the Third Proportional to 501.54 and 758.90

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Solution

The third proportional to 501.54 and 758.90 is: 1,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.54 : 758.90 = 758.90 : x
  2. Step 2: Convert to fraction form
    501.54/758.90 = 758.90/x
  3. Step 3: Cross multiply
    501.54x = 758.90 × 758.90
  4. Step 4: Simplify right side
    501.54x = 575,929.80
  5. Step 5: Solve for x
    x = 575,929.80/501.54
  6. Step 6: Final answer
    x = 1,148.31

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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.