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Finding the Third Proportional to 200,956.50 and 433,461

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Solution

The third proportional to 200,956.50 and 433,461 is: 934,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,956.50 : 433,461 = 433,461 : x
  2. Step 2: Convert to fraction form
    200,956.50/433,461 = 433,461/x
  3. Step 3: Cross multiply
    200,956.50x = 433,461 × 433,461
  4. Step 4: Simplify right side
    200,956.50x = 187,888,438,521
  5. Step 5: Solve for x
    x = 187,888,438,521/200,956.50
  6. Step 6: Final answer
    x = 934,970.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.