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Finding the Third Proportional to 215,418 and 357,778

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Solution

The third proportional to 215,418 and 357,778 is: 594,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,418 : 357,778 = 357,778 : x
  2. Step 2: Convert to fraction form
    215,418/357,778 = 357,778/x
  3. Step 3: Cross multiply
    215,418x = 357,778 × 357,778
  4. Step 4: Simplify right side
    215,418x = 128,005,097,284
  5. Step 5: Solve for x
    x = 128,005,097,284/215,418
  6. Step 6: Final answer
    x = 594,217.28

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.