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Finding the Third Proportional to 322,551 and 512,428

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Solution

The third proportional to 322,551 and 512,428 is: 814,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,551 : 512,428 = 512,428 : x
  2. Step 2: Convert to fraction form
    322,551/512,428 = 512,428/x
  3. Step 3: Cross multiply
    322,551x = 512,428 × 512,428
  4. Step 4: Simplify right side
    322,551x = 262,582,455,184
  5. Step 5: Solve for x
    x = 262,582,455,184/322,551
  6. Step 6: Final answer
    x = 814,080.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.