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Finding the Third Proportional to 199,490 and 432,890

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Solution

The third proportional to 199,490 and 432,890 is: 939,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,490 : 432,890 = 432,890 : x
  2. Step 2: Convert to fraction form
    199,490/432,890 = 432,890/x
  3. Step 3: Cross multiply
    199,490x = 432,890 × 432,890
  4. Step 4: Simplify right side
    199,490x = 187,393,752,100
  5. Step 5: Solve for x
    x = 187,393,752,100/199,490
  6. Step 6: Final answer
    x = 939,364.14

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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.