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Finding the Third Proportional to 64,694.81 and 139,777.88

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Solution

The third proportional to 64,694.81 and 139,777.88 is: 302,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,694.81 : 139,777.88 = 139,777.88 : x
  2. Step 2: Convert to fraction form
    64,694.81/139,777.88 = 139,777.88/x
  3. Step 3: Cross multiply
    64,694.81x = 139,777.88 × 139,777.88
  4. Step 4: Simplify right side
    64,694.81x = 19,537,854,339.52
  5. Step 5: Solve for x
    x = 19,537,854,339.52/64,694.81
  6. Step 6: Final answer
    x = 302,000.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.