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Finding the Third Proportional to 410,412 and 621,072

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Solution

The third proportional to 410,412 and 621,072 is: 939,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,412 : 621,072 = 621,072 : x
  2. Step 2: Convert to fraction form
    410,412/621,072 = 621,072/x
  3. Step 3: Cross multiply
    410,412x = 621,072 × 621,072
  4. Step 4: Simplify right side
    410,412x = 385,730,429,184
  5. Step 5: Solve for x
    x = 385,730,429,184/410,412
  6. Step 6: Final answer
    x = 939,861.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.