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Finding the Third Proportional to 489,294 and 756,207

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Solution

The third proportional to 489,294 and 756,207 is: 1,168,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,294 : 756,207 = 756,207 : x
  2. Step 2: Convert to fraction form
    489,294/756,207 = 756,207/x
  3. Step 3: Cross multiply
    489,294x = 756,207 × 756,207
  4. Step 4: Simplify right side
    489,294x = 571,849,026,849
  5. Step 5: Solve for x
    x = 571,849,026,849/489,294
  6. Step 6: Final answer
    x = 1,168,722.75

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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.