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Finding the Third Proportional to 211,470 and 457,788

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Solution

The third proportional to 211,470 and 457,788 is: 991,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,470 : 457,788 = 457,788 : x
  2. Step 2: Convert to fraction form
    211,470/457,788 = 457,788/x
  3. Step 3: Cross multiply
    211,470x = 457,788 × 457,788
  4. Step 4: Simplify right side
    211,470x = 209,569,852,944
  5. Step 5: Solve for x
    x = 209,569,852,944/211,470
  6. Step 6: Final answer
    x = 991,014.58

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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.