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Finding the Third Proportional to 212,047.88 and 278,705.81

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Solution

The third proportional to 212,047.88 and 278,705.81 is: 366,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,047.88 : 278,705.81 = 278,705.81 : x
  2. Step 2: Convert to fraction form
    212,047.88/278,705.81 = 278,705.81/x
  3. Step 3: Cross multiply
    212,047.88x = 278,705.81 × 278,705.81
  4. Step 4: Simplify right side
    212,047.88x = 77,676,929,921.29
  5. Step 5: Solve for x
    x = 77,676,929,921.29/212,047.88
  6. Step 6: Final answer
    x = 366,317.89

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.