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Finding the Third Proportional to 64,682 and 141,386

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Solution

The third proportional to 64,682 and 141,386 is: 309,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,682 : 141,386 = 141,386 : x
  2. Step 2: Convert to fraction form
    64,682/141,386 = 141,386/x
  3. Step 3: Cross multiply
    64,682x = 141,386 × 141,386
  4. Step 4: Simplify right side
    64,682x = 19,990,000,996
  5. Step 5: Solve for x
    x = 19,990,000,996/64,682
  6. Step 6: Final answer
    x = 309,050.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.