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Finding the Third Proportional to 489,564 and 732,078

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Solution

The third proportional to 489,564 and 732,078 is: 1,094,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,564 : 732,078 = 732,078 : x
  2. Step 2: Convert to fraction form
    489,564/732,078 = 732,078/x
  3. Step 3: Cross multiply
    489,564x = 732,078 × 732,078
  4. Step 4: Simplify right side
    489,564x = 535,938,198,084
  5. Step 5: Solve for x
    x = 535,938,198,084/489,564
  6. Step 6: Final answer
    x = 1,094,725.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.