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Finding the Third Proportional to 211,687 and 456,613

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Solution

The third proportional to 211,687 and 456,613 is: 984,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,687 : 456,613 = 456,613 : x
  2. Step 2: Convert to fraction form
    211,687/456,613 = 456,613/x
  3. Step 3: Cross multiply
    211,687x = 456,613 × 456,613
  4. Step 4: Simplify right side
    211,687x = 208,495,431,769
  5. Step 5: Solve for x
    x = 208,495,431,769/211,687
  6. Step 6: Final answer
    x = 984,923.17

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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.