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Finding the Third Proportional to 102,320 and 221,712

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Solution

The third proportional to 102,320 and 221,712 is: 480,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,320 : 221,712 = 221,712 : x
  2. Step 2: Convert to fraction form
    102,320/221,712 = 221,712/x
  3. Step 3: Cross multiply
    102,320x = 221,712 × 221,712
  4. Step 4: Simplify right side
    102,320x = 49,156,210,944
  5. Step 5: Solve for x
    x = 49,156,210,944/102,320
  6. Step 6: Final answer
    x = 480,416.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.