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Finding the Third Proportional to 64,561 and 139,842

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Solution

The third proportional to 64,561 and 139,842 is: 302,904.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,561 : 139,842 = 139,842 : x
  2. Step 2: Convert to fraction form
    64,561/139,842 = 139,842/x
  3. Step 3: Cross multiply
    64,561x = 139,842 × 139,842
  4. Step 4: Simplify right side
    64,561x = 19,555,784,964
  5. Step 5: Solve for x
    x = 19,555,784,964/64,561
  6. Step 6: Final answer
    x = 302,904.00

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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.