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Finding the Third Proportional to 210,930 and 455,542

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Solution

The third proportional to 210,930 and 455,542 is: 983,826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,930 : 455,542 = 455,542 : x
  2. Step 2: Convert to fraction form
    210,930/455,542 = 455,542/x
  3. Step 3: Cross multiply
    210,930x = 455,542 × 455,542
  4. Step 4: Simplify right side
    210,930x = 207,518,513,764
  5. Step 5: Solve for x
    x = 207,518,513,764/210,930
  6. Step 6: Final answer
    x = 983,826.45

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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.