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Finding the Third Proportional to 200,838 and 432,780

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Solution

The third proportional to 200,838 and 432,780 is: 932,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,838 : 432,780 = 432,780 : x
  2. Step 2: Convert to fraction form
    200,838/432,780 = 432,780/x
  3. Step 3: Cross multiply
    200,838x = 432,780 × 432,780
  4. Step 4: Simplify right side
    200,838x = 187,298,528,400
  5. Step 5: Solve for x
    x = 187,298,528,400/200,838
  6. Step 6: Final answer
    x = 932,585.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.