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Finding the Third Proportional to 157,617 and 216,855

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Solution

The third proportional to 157,617 and 216,855 is: 298,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,617 : 216,855 = 216,855 : x
  2. Step 2: Convert to fraction form
    157,617/216,855 = 216,855/x
  3. Step 3: Cross multiply
    157,617x = 216,855 × 216,855
  4. Step 4: Simplify right side
    157,617x = 47,026,091,025
  5. Step 5: Solve for x
    x = 47,026,091,025/157,617
  6. Step 6: Final answer
    x = 298,356.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.