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Finding the Third Proportional to 77,919.47 and 168,140.81

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Solution

The third proportional to 77,919.47 and 168,140.81 is: 362,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,919.47 : 168,140.81 = 168,140.81 : x
  2. Step 2: Convert to fraction form
    77,919.47/168,140.81 = 168,140.81/x
  3. Step 3: Cross multiply
    77,919.47x = 168,140.81 × 168,140.81
  4. Step 4: Simplify right side
    77,919.47x = 28,271,332,828.16
  5. Step 5: Solve for x
    x = 28,271,332,828.16/77,919.47
  6. Step 6: Final answer
    x = 362,827.59

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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.