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Finding the Third Proportional to 328,910 and 719,332

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Solution

The third proportional to 328,910 and 719,332 is: 1,573,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,910 : 719,332 = 719,332 : x
  2. Step 2: Convert to fraction form
    328,910/719,332 = 719,332/x
  3. Step 3: Cross multiply
    328,910x = 719,332 × 719,332
  4. Step 4: Simplify right side
    328,910x = 517,438,526,224
  5. Step 5: Solve for x
    x = 517,438,526,224/328,910
  6. Step 6: Final answer
    x = 1,573,191.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.