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Finding the Third Proportional to 508,510 and 690,614

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Solution

The third proportional to 508,510 and 690,614 is: 937,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,510 : 690,614 = 690,614 : x
  2. Step 2: Convert to fraction form
    508,510/690,614 = 690,614/x
  3. Step 3: Cross multiply
    508,510x = 690,614 × 690,614
  4. Step 4: Simplify right side
    508,510x = 476,947,696,996
  5. Step 5: Solve for x
    x = 476,947,696,996/508,510
  6. Step 6: Final answer
    x = 937,931.79

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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.