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Finding the Third Proportional to 131,460 and 205,952

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Solution

The third proportional to 131,460 and 205,952 is: 322,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,460 : 205,952 = 205,952 : x
  2. Step 2: Convert to fraction form
    131,460/205,952 = 205,952/x
  3. Step 3: Cross multiply
    131,460x = 205,952 × 205,952
  4. Step 4: Simplify right side
    131,460x = 42,416,226,304
  5. Step 5: Solve for x
    x = 42,416,226,304/131,460
  6. Step 6: Final answer
    x = 322,655.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.