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Finding the Third Proportional to 211,496 and 457,840

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Solution

The third proportional to 211,496 and 457,840 is: 991,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,496 : 457,840 = 457,840 : x
  2. Step 2: Convert to fraction form
    211,496/457,840 = 457,840/x
  3. Step 3: Cross multiply
    211,496x = 457,840 × 457,840
  4. Step 4: Simplify right side
    211,496x = 209,617,465,600
  5. Step 5: Solve for x
    x = 209,617,465,600/211,496
  6. Step 6: Final answer
    x = 991,117.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.