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Finding the Third Proportional to 501.12 and 612.21

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Solution

The third proportional to 501.12 and 612.21 is: 747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.12 : 612.21 = 612.21 : x
  2. Step 2: Convert to fraction form
    501.12/612.21 = 612.21/x
  3. Step 3: Cross multiply
    501.12x = 612.21 × 612.21
  4. Step 4: Simplify right side
    501.12x = 374,802.23
  5. Step 5: Solve for x
    x = 374,802.23/501.12
  6. Step 6: Final answer
    x = 747.93

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.