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Finding the Third Proportional to 221,184 and 500,688

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Solution

The third proportional to 221,184 and 500,688 is: 1,133,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,184 : 500,688 = 500,688 : x
  2. Step 2: Convert to fraction form
    221,184/500,688 = 500,688/x
  3. Step 3: Cross multiply
    221,184x = 500,688 × 500,688
  4. Step 4: Simplify right side
    221,184x = 250,688,473,344
  5. Step 5: Solve for x
    x = 250,688,473,344/221,184
  6. Step 6: Final answer
    x = 1,133,393.34

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.