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Finding the Third Proportional to 434,938 and 612,494

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Solution

The third proportional to 434,938 and 612,494 is: 862,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,938 : 612,494 = 612,494 : x
  2. Step 2: Convert to fraction form
    434,938/612,494 = 612,494/x
  3. Step 3: Cross multiply
    434,938x = 612,494 × 612,494
  4. Step 4: Simplify right side
    434,938x = 375,148,900,036
  5. Step 5: Solve for x
    x = 375,148,900,036/434,938
  6. Step 6: Final answer
    x = 862,534.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.