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Finding the Third Proportional to 213,358 and 458,348

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Solution

The third proportional to 213,358 and 458,348 is: 984,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,358 : 458,348 = 458,348 : x
  2. Step 2: Convert to fraction form
    213,358/458,348 = 458,348/x
  3. Step 3: Cross multiply
    213,358x = 458,348 × 458,348
  4. Step 4: Simplify right side
    213,358x = 210,082,889,104
  5. Step 5: Solve for x
    x = 210,082,889,104/213,358
  6. Step 6: Final answer
    x = 984,649.69

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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.