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Finding the Third Proportional to 264,496 and 408,658

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Solution

The third proportional to 264,496 and 408,658 is: 631,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,496 : 408,658 = 408,658 : x
  2. Step 2: Convert to fraction form
    264,496/408,658 = 408,658/x
  3. Step 3: Cross multiply
    264,496x = 408,658 × 408,658
  4. Step 4: Simplify right side
    264,496x = 167,001,360,964
  5. Step 5: Solve for x
    x = 167,001,360,964/264,496
  6. Step 6: Final answer
    x = 631,394.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.