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Finding the Third Proportional to 215,565 and 289,992

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Solution

The third proportional to 215,565 and 289,992 is: 390,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,565 : 289,992 = 289,992 : x
  2. Step 2: Convert to fraction form
    215,565/289,992 = 289,992/x
  3. Step 3: Cross multiply
    215,565x = 289,992 × 289,992
  4. Step 4: Simplify right side
    215,565x = 84,095,360,064
  5. Step 5: Solve for x
    x = 84,095,360,064/215,565
  6. Step 6: Final answer
    x = 390,116.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.