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Finding the Third Proportional to 122,316 and 229,272

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Solution

The third proportional to 122,316 and 229,272 is: 429,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,316 : 229,272 = 229,272 : x
  2. Step 2: Convert to fraction form
    122,316/229,272 = 229,272/x
  3. Step 3: Cross multiply
    122,316x = 229,272 × 229,272
  4. Step 4: Simplify right side
    122,316x = 52,565,649,984
  5. Step 5: Solve for x
    x = 52,565,649,984/122,316
  6. Step 6: Final answer
    x = 429,752.85

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.