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Finding the Third Proportional to 333,258 and 721,890

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Solution

The third proportional to 333,258 and 721,890 is: 1,563,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,258 : 721,890 = 721,890 : x
  2. Step 2: Convert to fraction form
    333,258/721,890 = 721,890/x
  3. Step 3: Cross multiply
    333,258x = 721,890 × 721,890
  4. Step 4: Simplify right side
    333,258x = 521,125,172,100
  5. Step 5: Solve for x
    x = 521,125,172,100/333,258
  6. Step 6: Final answer
    x = 1,563,728.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.