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Finding the Third Proportional to 64,712.53 and 138,420.84

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Solution

The third proportional to 64,712.53 and 138,420.84 is: 296,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,712.53 : 138,420.84 = 138,420.84 : x
  2. Step 2: Convert to fraction form
    64,712.53/138,420.84 = 138,420.84/x
  3. Step 3: Cross multiply
    64,712.53x = 138,420.84 × 138,420.84
  4. Step 4: Simplify right side
    64,712.53x = 19,160,329,984.46
  5. Step 5: Solve for x
    x = 19,160,329,984.46/64,712.53
  6. Step 6: Final answer
    x = 296,083.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.