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Finding the Third Proportional to 272,875.50 and 418,844.25

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Solution

The third proportional to 272,875.50 and 418,844.25 is: 642,895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,875.50 : 418,844.25 = 418,844.25 : x
  2. Step 2: Convert to fraction form
    272,875.50/418,844.25 = 418,844.25/x
  3. Step 3: Cross multiply
    272,875.50x = 418,844.25 × 418,844.25
  4. Step 4: Simplify right side
    272,875.50x = 175,430,505,758.06
  5. Step 5: Solve for x
    x = 175,430,505,758.06/272,875.50
  6. Step 6: Final answer
    x = 642,895.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.