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Finding the Third Proportional to 508,608 and 689,964

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Solution

The third proportional to 508,608 and 689,964 is: 935,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,608 : 689,964 = 689,964 : x
  2. Step 2: Convert to fraction form
    508,608/689,964 = 689,964/x
  3. Step 3: Cross multiply
    508,608x = 689,964 × 689,964
  4. Step 4: Simplify right side
    508,608x = 476,050,321,296
  5. Step 5: Solve for x
    x = 476,050,321,296/508,608
  6. Step 6: Final answer
    x = 935,986.70

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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.