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Finding the Third Proportional to 210,817 and 455,284

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Solution

The third proportional to 210,817 and 455,284 is: 983,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,817 : 455,284 = 455,284 : x
  2. Step 2: Convert to fraction form
    210,817/455,284 = 455,284/x
  3. Step 3: Cross multiply
    210,817x = 455,284 × 455,284
  4. Step 4: Simplify right side
    210,817x = 207,283,520,656
  5. Step 5: Solve for x
    x = 207,283,520,656/210,817
  6. Step 6: Final answer
    x = 983,239.12

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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.