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Finding the Third Proportional to 210,879 and 455,438

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Solution

The third proportional to 210,879 and 455,438 is: 983,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,879 : 455,438 = 455,438 : x
  2. Step 2: Convert to fraction form
    210,879/455,438 = 455,438/x
  3. Step 3: Cross multiply
    210,879x = 455,438 × 455,438
  4. Step 4: Simplify right side
    210,879x = 207,423,771,844
  5. Step 5: Solve for x
    x = 207,423,771,844/210,879
  6. Step 6: Final answer
    x = 983,615.12

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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.