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Finding the Third Proportional to 296,219 and 423,297

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Solution

The third proportional to 296,219 and 423,297 is: 604,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,219 : 423,297 = 423,297 : x
  2. Step 2: Convert to fraction form
    296,219/423,297 = 423,297/x
  3. Step 3: Cross multiply
    296,219x = 423,297 × 423,297
  4. Step 4: Simplify right side
    296,219x = 179,180,350,209
  5. Step 5: Solve for x
    x = 179,180,350,209/296,219
  6. Step 6: Final answer
    x = 604,891.48

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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.