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Finding the Third Proportional to 163,478 and 219,688

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Solution

The third proportional to 163,478 and 219,688 is: 295,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,478 : 219,688 = 219,688 : x
  2. Step 2: Convert to fraction form
    163,478/219,688 = 219,688/x
  3. Step 3: Cross multiply
    163,478x = 219,688 × 219,688
  4. Step 4: Simplify right side
    163,478x = 48,262,817,344
  5. Step 5: Solve for x
    x = 48,262,817,344/163,478
  6. Step 6: Final answer
    x = 295,225.15

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.