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Finding the Third Proportional to 219,069 and 478,688

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Solution

The third proportional to 219,069 and 478,688 is: 1,045,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,069 : 478,688 = 478,688 : x
  2. Step 2: Convert to fraction form
    219,069/478,688 = 478,688/x
  3. Step 3: Cross multiply
    219,069x = 478,688 × 478,688
  4. Step 4: Simplify right side
    219,069x = 229,142,201,344
  5. Step 5: Solve for x
    x = 229,142,201,344/219,069
  6. Step 6: Final answer
    x = 1,045,981.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.