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Finding the Third Proportional to 210,897 and 455,517

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Solution

The third proportional to 210,897 and 455,517 is: 983,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,897 : 455,517 = 455,517 : x
  2. Step 2: Convert to fraction form
    210,897/455,517 = 455,517/x
  3. Step 3: Cross multiply
    210,897x = 455,517 × 455,517
  4. Step 4: Simplify right side
    210,897x = 207,495,737,289
  5. Step 5: Solve for x
    x = 207,495,737,289/210,897
  6. Step 6: Final answer
    x = 983,872.40

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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.