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Finding the Third Proportional to 212,089.50 and 311,006.25

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Solution

The third proportional to 212,089.50 and 311,006.25 is: 456,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,089.50 : 311,006.25 = 311,006.25 : x
  2. Step 2: Convert to fraction form
    212,089.50/311,006.25 = 311,006.25/x
  3. Step 3: Cross multiply
    212,089.50x = 311,006.25 × 311,006.25
  4. Step 4: Simplify right side
    212,089.50x = 96,724,887,539.06
  5. Step 5: Solve for x
    x = 96,724,887,539.06/212,089.50
  6. Step 6: Final answer
    x = 456,056.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.