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Finding the Third Proportional to 211,079.67 and 311,038.10

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Solution

The third proportional to 211,079.67 and 311,038.10 is: 458,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,079.67 : 311,038.10 = 311,038.10 : x
  2. Step 2: Convert to fraction form
    211,079.67/311,038.10 = 311,038.10/x
  3. Step 3: Cross multiply
    211,079.67x = 311,038.10 × 311,038.10
  4. Step 4: Simplify right side
    211,079.67x = 96,744,700,623.60
  5. Step 5: Solve for x
    x = 96,744,700,623.60/211,079.67
  6. Step 6: Final answer
    x = 458,332.63

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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.