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Finding the Third Proportional to 342,025.50 and 749,721.75

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Solution

The third proportional to 342,025.50 and 749,721.75 is: 1,643,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,025.50 : 749,721.75 = 749,721.75 : x
  2. Step 2: Convert to fraction form
    342,025.50/749,721.75 = 749,721.75/x
  3. Step 3: Cross multiply
    342,025.50x = 749,721.75 × 749,721.75
  4. Step 4: Simplify right side
    342,025.50x = 562,082,702,423.06
  5. Step 5: Solve for x
    x = 562,082,702,423.06/342,025.50
  6. Step 6: Final answer
    x = 1,643,394.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.