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Finding the Third Proportional to 219,090 and 448,564

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Solution

The third proportional to 219,090 and 448,564 is: 918,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,090 : 448,564 = 448,564 : x
  2. Step 2: Convert to fraction form
    219,090/448,564 = 448,564/x
  3. Step 3: Cross multiply
    219,090x = 448,564 × 448,564
  4. Step 4: Simplify right side
    219,090x = 201,209,662,096
  5. Step 5: Solve for x
    x = 201,209,662,096/219,090
  6. Step 6: Final answer
    x = 918,388.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.