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Finding the Third Proportional to 218,335 and 477,403

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Solution

The third proportional to 218,335 and 477,403 is: 1,043,871.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,335 : 477,403 = 477,403 : x
  2. Step 2: Convert to fraction form
    218,335/477,403 = 477,403/x
  3. Step 3: Cross multiply
    218,335x = 477,403 × 477,403
  4. Step 4: Simplify right side
    218,335x = 227,913,624,409
  5. Step 5: Solve for x
    x = 227,913,624,409/218,335
  6. Step 6: Final answer
    x = 1,043,871.23

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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.