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Finding the Third Proportional to 316,258 and 690,884

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Solution

The third proportional to 316,258 and 690,884 is: 1,509,276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,258 : 690,884 = 690,884 : x
  2. Step 2: Convert to fraction form
    316,258/690,884 = 690,884/x
  3. Step 3: Cross multiply
    316,258x = 690,884 × 690,884
  4. Step 4: Simplify right side
    316,258x = 477,320,701,456
  5. Step 5: Solve for x
    x = 477,320,701,456/316,258
  6. Step 6: Final answer
    x = 1,509,276.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.