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Finding the Third Proportional to 289,680 and 432,875

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Solution

The third proportional to 289,680 and 432,875 is: 646,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,680 : 432,875 = 432,875 : x
  2. Step 2: Convert to fraction form
    289,680/432,875 = 432,875/x
  3. Step 3: Cross multiply
    289,680x = 432,875 × 432,875
  4. Step 4: Simplify right side
    289,680x = 187,380,765,625
  5. Step 5: Solve for x
    x = 187,380,765,625/289,680
  6. Step 6: Final answer
    x = 646,854.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.