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Finding the Third Proportional to 321,316 and 429,270

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Solution

The third proportional to 321,316 and 429,270 is: 573,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,316 : 429,270 = 429,270 : x
  2. Step 2: Convert to fraction form
    321,316/429,270 = 429,270/x
  3. Step 3: Cross multiply
    321,316x = 429,270 × 429,270
  4. Step 4: Simplify right side
    321,316x = 184,272,732,900
  5. Step 5: Solve for x
    x = 184,272,732,900/321,316
  6. Step 6: Final answer
    x = 573,493.80

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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.