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Finding the Third Proportional to 315,853 and 690,755

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Solution

The third proportional to 315,853 and 690,755 is: 1,510,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,853 : 690,755 = 690,755 : x
  2. Step 2: Convert to fraction form
    315,853/690,755 = 690,755/x
  3. Step 3: Cross multiply
    315,853x = 690,755 × 690,755
  4. Step 4: Simplify right side
    315,853x = 477,142,470,025
  5. Step 5: Solve for x
    x = 477,142,470,025/315,853
  6. Step 6: Final answer
    x = 1,510,647.26

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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.