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Finding the Third Proportional to 321,320 and 429,276

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Solution

The third proportional to 321,320 and 429,276 is: 573,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,320 : 429,276 = 429,276 : x
  2. Step 2: Convert to fraction form
    321,320/429,276 = 429,276/x
  3. Step 3: Cross multiply
    321,320x = 429,276 × 429,276
  4. Step 4: Simplify right side
    321,320x = 184,277,884,176
  5. Step 5: Solve for x
    x = 184,277,884,176/321,320
  6. Step 6: Final answer
    x = 573,502.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.