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Finding the Third Proportional to 64,556 and 141,555

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Solution

The third proportional to 64,556 and 141,555 is: 310,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,556 : 141,555 = 141,555 : x
  2. Step 2: Convert to fraction form
    64,556/141,555 = 141,555/x
  3. Step 3: Cross multiply
    64,556x = 141,555 × 141,555
  4. Step 4: Simplify right side
    64,556x = 20,037,818,025
  5. Step 5: Solve for x
    x = 20,037,818,025/64,556
  6. Step 6: Final answer
    x = 310,394.36

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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.