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Finding the Third Proportional to 212,088.75 and 311,005.13

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Solution

The third proportional to 212,088.75 and 311,005.13 is: 456,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,088.75 : 311,005.13 = 311,005.13 : x
  2. Step 2: Convert to fraction form
    212,088.75/311,005.13 = 311,005.13/x
  3. Step 3: Cross multiply
    212,088.75x = 311,005.13 × 311,005.13
  4. Step 4: Simplify right side
    212,088.75x = 96,724,187,776.27
  5. Step 5: Solve for x
    x = 96,724,187,776.27/212,088.75
  6. Step 6: Final answer
    x = 456,055.25

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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.