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Finding the Third Proportional to 213,665 and 455,929

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Solution

The third proportional to 213,665 and 455,929 is: 972,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,665 : 455,929 = 455,929 : x
  2. Step 2: Convert to fraction form
    213,665/455,929 = 455,929/x
  3. Step 3: Cross multiply
    213,665x = 455,929 × 455,929
  4. Step 4: Simplify right side
    213,665x = 207,871,253,041
  5. Step 5: Solve for x
    x = 207,871,253,041/213,665
  6. Step 6: Final answer
    x = 972,883.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.