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Finding the Third Proportional to 508,501 and 690,608

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Solution

The third proportional to 508,501 and 690,608 is: 937,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,501 : 690,608 = 690,608 : x
  2. Step 2: Convert to fraction form
    508,501/690,608 = 690,608/x
  3. Step 3: Cross multiply
    508,501x = 690,608 × 690,608
  4. Step 4: Simplify right side
    508,501x = 476,939,409,664
  5. Step 5: Solve for x
    x = 476,939,409,664/508,501
  6. Step 6: Final answer
    x = 937,932.10

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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.