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Finding the Third Proportional to 434,650 and 664,890

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Solution

The third proportional to 434,650 and 664,890 is: 1,017,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,650 : 664,890 = 664,890 : x
  2. Step 2: Convert to fraction form
    434,650/664,890 = 664,890/x
  3. Step 3: Cross multiply
    434,650x = 664,890 × 664,890
  4. Step 4: Simplify right side
    434,650x = 442,078,712,100
  5. Step 5: Solve for x
    x = 442,078,712,100/434,650
  6. Step 6: Final answer
    x = 1,017,091.25

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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.