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Finding the Third Proportional to 84,424 and 133,681.50

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Solution

The third proportional to 84,424 and 133,681.50 is: 211,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,424 : 133,681.50 = 133,681.50 : x
  2. Step 2: Convert to fraction form
    84,424/133,681.50 = 133,681.50/x
  3. Step 3: Cross multiply
    84,424x = 133,681.50 × 133,681.50
  4. Step 4: Simplify right side
    84,424x = 17,870,743,442.25
  5. Step 5: Solve for x
    x = 17,870,743,442.25/84,424
  6. Step 6: Final answer
    x = 211,678.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.