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Finding the Third Proportional to 212,089.50 and 438,943.50

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Solution

The third proportional to 212,089.50 and 438,943.50 is: 908,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,089.50 : 438,943.50 = 438,943.50 : x
  2. Step 2: Convert to fraction form
    212,089.50/438,943.50 = 438,943.50/x
  3. Step 3: Cross multiply
    212,089.50x = 438,943.50 × 438,943.50
  4. Step 4: Simplify right side
    212,089.50x = 192,671,396,192.25
  5. Step 5: Solve for x
    x = 192,671,396,192.25/212,089.50
  6. Step 6: Final answer
    x = 908,443.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.