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Finding the Third Proportional to 434,890 and 612,419

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Solution

The third proportional to 434,890 and 612,419 is: 862,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,890 : 612,419 = 612,419 : x
  2. Step 2: Convert to fraction form
    434,890/612,419 = 612,419/x
  3. Step 3: Cross multiply
    434,890x = 612,419 × 612,419
  4. Step 4: Simplify right side
    434,890x = 375,057,031,561
  5. Step 5: Solve for x
    x = 375,057,031,561/434,890
  6. Step 6: Final answer
    x = 862,418.16

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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.