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Finding the Third Proportional to 65,730 and 141,312

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Solution

The third proportional to 65,730 and 141,312 is: 303,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,730 : 141,312 = 141,312 : x
  2. Step 2: Convert to fraction form
    65,730/141,312 = 141,312/x
  3. Step 3: Cross multiply
    65,730x = 141,312 × 141,312
  4. Step 4: Simplify right side
    65,730x = 19,969,081,344
  5. Step 5: Solve for x
    x = 19,969,081,344/65,730
  6. Step 6: Final answer
    x = 303,804.68

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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.