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Finding the Third Proportional to 211,693 and 457,514

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Solution

The third proportional to 211,693 and 457,514 is: 988,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,693 : 457,514 = 457,514 : x
  2. Step 2: Convert to fraction form
    211,693/457,514 = 457,514/x
  3. Step 3: Cross multiply
    211,693x = 457,514 × 457,514
  4. Step 4: Simplify right side
    211,693x = 209,319,060,196
  5. Step 5: Solve for x
    x = 209,319,060,196/211,693
  6. Step 6: Final answer
    x = 988,785.93

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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.