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Finding the Third Proportional to 400,207 and 610,475

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Solution

The third proportional to 400,207 and 610,475 is: 931,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,207 : 610,475 = 610,475 : x
  2. Step 2: Convert to fraction form
    400,207/610,475 = 610,475/x
  3. Step 3: Cross multiply
    400,207x = 610,475 × 610,475
  4. Step 4: Simplify right side
    400,207x = 372,679,725,625
  5. Step 5: Solve for x
    x = 372,679,725,625/400,207
  6. Step 6: Final answer
    x = 931,217.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.