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Finding the Third Proportional to 213,316 and 458,289

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Solution

The third proportional to 213,316 and 458,289 is: 984,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,316 : 458,289 = 458,289 : x
  2. Step 2: Convert to fraction form
    213,316/458,289 = 458,289/x
  3. Step 3: Cross multiply
    213,316x = 458,289 × 458,289
  4. Step 4: Simplify right side
    213,316x = 210,028,807,521
  5. Step 5: Solve for x
    x = 210,028,807,521/213,316
  6. Step 6: Final answer
    x = 984,590.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.