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Finding the Third Proportional to 142,976.81 and 282,365.16

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Solution

The third proportional to 142,976.81 and 282,365.16 is: 557,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,976.81 : 282,365.16 = 282,365.16 : x
  2. Step 2: Convert to fraction form
    142,976.81/282,365.16 = 282,365.16/x
  3. Step 3: Cross multiply
    142,976.81x = 282,365.16 × 282,365.16
  4. Step 4: Simplify right side
    142,976.81x = 79,730,081,464.09
  5. Step 5: Solve for x
    x = 79,730,081,464.09/142,976.81
  6. Step 6: Final answer
    x = 557,643.44

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.