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Finding the Third Proportional to 213,670 and 455,943

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Solution

The third proportional to 213,670 and 455,943 is: 972,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,670 : 455,943 = 455,943 : x
  2. Step 2: Convert to fraction form
    213,670/455,943 = 455,943/x
  3. Step 3: Cross multiply
    213,670x = 455,943 × 455,943
  4. Step 4: Simplify right side
    213,670x = 207,884,019,249
  5. Step 5: Solve for x
    x = 207,884,019,249/213,670
  6. Step 6: Final answer
    x = 972,920.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.