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Finding the Third Proportional to 98,628 and 215,432

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Solution

The third proportional to 98,628 and 215,432 is: 470,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,628 : 215,432 = 215,432 : x
  2. Step 2: Convert to fraction form
    98,628/215,432 = 215,432/x
  3. Step 3: Cross multiply
    98,628x = 215,432 × 215,432
  4. Step 4: Simplify right side
    98,628x = 46,410,946,624
  5. Step 5: Solve for x
    x = 46,410,946,624/98,628
  6. Step 6: Final answer
    x = 470,565.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.