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Finding the Third Proportional to 211,528 and 311,432

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Solution

The third proportional to 211,528 and 311,432 is: 458,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,528 : 311,432 = 311,432 : x
  2. Step 2: Convert to fraction form
    211,528/311,432 = 311,432/x
  3. Step 3: Cross multiply
    211,528x = 311,432 × 311,432
  4. Step 4: Simplify right side
    211,528x = 96,989,890,624
  5. Step 5: Solve for x
    x = 96,989,890,624/211,528
  6. Step 6: Final answer
    x = 458,520.34

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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.