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Finding the Third Proportional to 199,758 and 432,780

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Solution

The third proportional to 199,758 and 432,780 is: 937,627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,758 : 432,780 = 432,780 : x
  2. Step 2: Convert to fraction form
    199,758/432,780 = 432,780/x
  3. Step 3: Cross multiply
    199,758x = 432,780 × 432,780
  4. Step 4: Simplify right side
    199,758x = 187,298,528,400
  5. Step 5: Solve for x
    x = 187,298,528,400/199,758
  6. Step 6: Final answer
    x = 937,627.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.