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Finding the Third Proportional to 508,513 and 690,618.50

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Solution

The third proportional to 508,513 and 690,618.50 is: 937,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,513 : 690,618.50 = 690,618.50 : x
  2. Step 2: Convert to fraction form
    508,513/690,618.50 = 690,618.50/x
  3. Step 3: Cross multiply
    508,513x = 690,618.50 × 690,618.50
  4. Step 4: Simplify right side
    508,513x = 476,953,912,542.25
  5. Step 5: Solve for x
    x = 476,953,912,542.25/508,513
  6. Step 6: Final answer
    x = 937,938.48

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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.