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Finding the Third Proportional to 210,926 and 455,534

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Solution

The third proportional to 210,926 and 455,534 is: 983,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,926 : 455,534 = 455,534 : x
  2. Step 2: Convert to fraction form
    210,926/455,534 = 455,534/x
  3. Step 3: Cross multiply
    210,926x = 455,534 × 455,534
  4. Step 4: Simplify right side
    210,926x = 207,511,225,156
  5. Step 5: Solve for x
    x = 207,511,225,156/210,926
  6. Step 6: Final answer
    x = 983,810.56

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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.