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Finding the Third Proportional to 315,666 and 690,381

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Solution

The third proportional to 315,666 and 690,381 is: 1,509,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,666 : 690,381 = 690,381 : x
  2. Step 2: Convert to fraction form
    315,666/690,381 = 690,381/x
  3. Step 3: Cross multiply
    315,666x = 690,381 × 690,381
  4. Step 4: Simplify right side
    315,666x = 476,625,925,161
  5. Step 5: Solve for x
    x = 476,625,925,161/315,666
  6. Step 6: Final answer
    x = 1,509,905.80

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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.