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Finding the Third Proportional to 30,678.75 and 64,455.75

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Solution

The third proportional to 30,678.75 and 64,455.75 is: 135,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.75 : 64,455.75 = 64,455.75 : x
  2. Step 2: Convert to fraction form
    30,678.75/64,455.75 = 64,455.75/x
  3. Step 3: Cross multiply
    30,678.75x = 64,455.75 × 64,455.75
  4. Step 4: Simplify right side
    30,678.75x = 4,154,543,708.06
  5. Step 5: Solve for x
    x = 4,154,543,708.06/30,678.75
  6. Step 6: Final answer
    x = 135,420.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.