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Finding the Third Proportional to 513,686.25 and 818,096.63

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Solution

The third proportional to 513,686.25 and 818,096.63 is: 1,302,900.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,686.25 : 818,096.63 = 818,096.63 : x
  2. Step 2: Convert to fraction form
    513,686.25/818,096.63 = 818,096.63/x
  3. Step 3: Cross multiply
    513,686.25x = 818,096.63 × 818,096.63
  4. Step 4: Simplify right side
    513,686.25x = 669,282,087,836.39
  5. Step 5: Solve for x
    x = 669,282,087,836.39/513,686.25
  6. Step 6: Final answer
    x = 1,302,900.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.