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Finding the Third Proportional to 321,014 and 429,465

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Solution

The third proportional to 321,014 and 429,465 is: 574,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,014 : 429,465 = 429,465 : x
  2. Step 2: Convert to fraction form
    321,014/429,465 = 429,465/x
  3. Step 3: Cross multiply
    321,014x = 429,465 × 429,465
  4. Step 4: Simplify right side
    321,014x = 184,440,186,225
  5. Step 5: Solve for x
    x = 184,440,186,225/321,014
  6. Step 6: Final answer
    x = 574,554.96

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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.