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Finding the Third Proportional to 656,836.88 and 989,952.75

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Solution

The third proportional to 656,836.88 and 989,952.75 is: 1,492,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,836.88 : 989,952.75 = 989,952.75 : x
  2. Step 2: Convert to fraction form
    656,836.88/989,952.75 = 989,952.75/x
  3. Step 3: Cross multiply
    656,836.88x = 989,952.75 × 989,952.75
  4. Step 4: Simplify right side
    656,836.88x = 980,006,447,232.56
  5. Step 5: Solve for x
    x = 980,006,447,232.56/656,836.88
  6. Step 6: Final answer
    x = 1,492,008.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.