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Finding the Third Proportional to 321,312 and 429,264

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Solution

The third proportional to 321,312 and 429,264 is: 573,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,312 : 429,264 = 429,264 : x
  2. Step 2: Convert to fraction form
    321,312/429,264 = 429,264/x
  3. Step 3: Cross multiply
    321,312x = 429,264 × 429,264
  4. Step 4: Simplify right side
    321,312x = 184,267,581,696
  5. Step 5: Solve for x
    x = 184,267,581,696/321,312
  6. Step 6: Final answer
    x = 573,484.90

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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.