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Finding the Third Proportional to 114,386 and 172,420

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Solution

The third proportional to 114,386 and 172,420 is: 259,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,386 : 172,420 = 172,420 : x
  2. Step 2: Convert to fraction form
    114,386/172,420 = 172,420/x
  3. Step 3: Cross multiply
    114,386x = 172,420 × 172,420
  4. Step 4: Simplify right side
    114,386x = 29,728,656,400
  5. Step 5: Solve for x
    x = 29,728,656,400/114,386
  6. Step 6: Final answer
    x = 259,897.68

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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.