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Finding the Third Proportional to 423,314 and 576,475

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Solution

The third proportional to 423,314 and 576,475 is: 785,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,314 : 576,475 = 576,475 : x
  2. Step 2: Convert to fraction form
    423,314/576,475 = 576,475/x
  3. Step 3: Cross multiply
    423,314x = 576,475 × 576,475
  4. Step 4: Simplify right side
    423,314x = 332,323,425,625
  5. Step 5: Solve for x
    x = 332,323,425,625/423,314
  6. Step 6: Final answer
    x = 785,051.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.