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Finding the Third Proportional to 489,300 and 756,217

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Solution

The third proportional to 489,300 and 756,217 is: 1,168,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,300 : 756,217 = 756,217 : x
  2. Step 2: Convert to fraction form
    489,300/756,217 = 756,217/x
  3. Step 3: Cross multiply
    489,300x = 756,217 × 756,217
  4. Step 4: Simplify right side
    489,300x = 571,864,151,089
  5. Step 5: Solve for x
    x = 571,864,151,089/489,300
  6. Step 6: Final answer
    x = 1,168,739.32

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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.