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Finding the Third Proportional to 328,254 and 514,269

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Solution

The third proportional to 328,254 and 514,269 is: 805,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,254 : 514,269 = 514,269 : x
  2. Step 2: Convert to fraction form
    328,254/514,269 = 514,269/x
  3. Step 3: Cross multiply
    328,254x = 514,269 × 514,269
  4. Step 4: Simplify right side
    328,254x = 264,472,604,361
  5. Step 5: Solve for x
    x = 264,472,604,361/328,254
  6. Step 6: Final answer
    x = 805,694.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.