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Finding the Third Proportional to 129,531 and 305,335

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Solution

The third proportional to 129,531 and 305,335 is: 719,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,531 : 305,335 = 305,335 : x
  2. Step 2: Convert to fraction form
    129,531/305,335 = 305,335/x
  3. Step 3: Cross multiply
    129,531x = 305,335 × 305,335
  4. Step 4: Simplify right side
    129,531x = 93,229,462,225
  5. Step 5: Solve for x
    x = 93,229,462,225/129,531
  6. Step 6: Final answer
    x = 719,746.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.