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Finding the Third Proportional to 289,672 and 432,863

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Solution

The third proportional to 289,672 and 432,863 is: 646,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,672 : 432,863 = 432,863 : x
  2. Step 2: Convert to fraction form
    289,672/432,863 = 432,863/x
  3. Step 3: Cross multiply
    289,672x = 432,863 × 432,863
  4. Step 4: Simplify right side
    289,672x = 187,370,376,769
  5. Step 5: Solve for x
    x = 187,370,376,769/289,672
  6. Step 6: Final answer
    x = 646,836.34

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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.