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Finding the Third Proportional to 434,882 and 612,409

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Solution

The third proportional to 434,882 and 612,409 is: 862,405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,882 : 612,409 = 612,409 : x
  2. Step 2: Convert to fraction form
    434,882/612,409 = 612,409/x
  3. Step 3: Cross multiply
    434,882x = 612,409 × 612,409
  4. Step 4: Simplify right side
    434,882x = 375,044,783,281
  5. Step 5: Solve for x
    x = 375,044,783,281/434,882
  6. Step 6: Final answer
    x = 862,405.86

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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.