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Finding the Third Proportional to 734,953.50 and 1,124,310.38

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Solution

The third proportional to 734,953.50 and 1,124,310.38 is: 1,719,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,953.50 : 1,124,310.38 = 1,124,310.38 : x
  2. Step 2: Convert to fraction form
    734,953.50/1,124,310.38 = 1,124,310.38/x
  3. Step 3: Cross multiply
    734,953.50x = 1,124,310.38 × 1,124,310.38
  4. Step 4: Simplify right side
    734,953.50x = 1,264,073,819,332.64
  5. Step 5: Solve for x
    x = 1,264,073,819,332.64/734,953.50
  6. Step 6: Final answer
    x = 1,719,937.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.