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Finding the Third Proportional to 305,260 and 655,664

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Solution

The third proportional to 305,260 and 655,664 is: 1,408,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,260 : 655,664 = 655,664 : x
  2. Step 2: Convert to fraction form
    305,260/655,664 = 655,664/x
  3. Step 3: Cross multiply
    305,260x = 655,664 × 655,664
  4. Step 4: Simplify right side
    305,260x = 429,895,280,896
  5. Step 5: Solve for x
    x = 429,895,280,896/305,260
  6. Step 6: Final answer
    x = 1,408,292.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.