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Finding the Third Proportional to 77,501.81 and 169,535.21

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Solution

The third proportional to 77,501.81 and 169,535.21 is: 370,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,501.81 : 169,535.21 = 169,535.21 : x
  2. Step 2: Convert to fraction form
    77,501.81/169,535.21 = 169,535.21/x
  3. Step 3: Cross multiply
    77,501.81x = 169,535.21 × 169,535.21
  4. Step 4: Simplify right side
    77,501.81x = 28,742,189,072.12
  5. Step 5: Solve for x
    x = 28,742,189,072.12/77,501.81
  6. Step 6: Final answer
    x = 370,858.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.