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Finding the Third Proportional to 101,358 and 215,829

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Solution

The third proportional to 101,358 and 215,829 is: 459,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,358 : 215,829 = 215,829 : x
  2. Step 2: Convert to fraction form
    101,358/215,829 = 215,829/x
  3. Step 3: Cross multiply
    101,358x = 215,829 × 215,829
  4. Step 4: Simplify right side
    101,358x = 46,582,157,241
  5. Step 5: Solve for x
    x = 46,582,157,241/101,358
  6. Step 6: Final answer
    x = 459,580.47

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Why These Related Problems?

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