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Finding the Third Proportional to 357.66 and 783.66

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Solution

The third proportional to 357.66 and 783.66 is: 1,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.66 : 783.66 = 783.66 : x
  2. Step 2: Convert to fraction form
    357.66/783.66 = 783.66/x
  3. Step 3: Cross multiply
    357.66x = 783.66 × 783.66
  4. Step 4: Simplify right side
    357.66x = 614,117.12
  5. Step 5: Solve for x
    x = 614,117.12/357.66
  6. Step 6: Final answer
    x = 1,717.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.