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Finding the Third Proportional to 296,282 and 423,385

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Solution

The third proportional to 296,282 and 423,385 is: 605,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,282 : 423,385 = 423,385 : x
  2. Step 2: Convert to fraction form
    296,282/423,385 = 423,385/x
  3. Step 3: Cross multiply
    296,282x = 423,385 × 423,385
  4. Step 4: Simplify right side
    296,282x = 179,254,858,225
  5. Step 5: Solve for x
    x = 179,254,858,225/296,282
  6. Step 6: Final answer
    x = 605,014.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.