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Finding the Third Proportional to 215,531 and 468,369

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Solution

The third proportional to 215,531 and 468,369 is: 1,017,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,531 : 468,369 = 468,369 : x
  2. Step 2: Convert to fraction form
    215,531/468,369 = 468,369/x
  3. Step 3: Cross multiply
    215,531x = 468,369 × 468,369
  4. Step 4: Simplify right side
    215,531x = 219,369,520,161
  5. Step 5: Solve for x
    x = 219,369,520,161/215,531
  6. Step 6: Final answer
    x = 1,017,809.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.