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Finding the Third Proportional to 508,502 and 690,610

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Solution

The third proportional to 508,502 and 690,610 is: 937,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,502 : 690,610 = 690,610 : x
  2. Step 2: Convert to fraction form
    508,502/690,610 = 690,610/x
  3. Step 3: Cross multiply
    508,502x = 690,610 × 690,610
  4. Step 4: Simplify right side
    508,502x = 476,942,172,100
  5. Step 5: Solve for x
    x = 476,942,172,100/508,502
  6. Step 6: Final answer
    x = 937,935.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.