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Finding the Third Proportional to 287,235 and 454,612

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Solution

The third proportional to 287,235 and 454,612 is: 719,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,235 : 454,612 = 454,612 : x
  2. Step 2: Convert to fraction form
    287,235/454,612 = 454,612/x
  3. Step 3: Cross multiply
    287,235x = 454,612 × 454,612
  4. Step 4: Simplify right side
    287,235x = 206,672,070,544
  5. Step 5: Solve for x
    x = 206,672,070,544/287,235
  6. Step 6: Final answer
    x = 719,522.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.