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Finding the Third Proportional to 342,456.75 and 545,396.63

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Solution

The third proportional to 342,456.75 and 545,396.63 is: 868,598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,456.75 : 545,396.63 = 545,396.63 : x
  2. Step 2: Convert to fraction form
    342,456.75/545,396.63 = 545,396.63/x
  3. Step 3: Cross multiply
    342,456.75x = 545,396.63 × 545,396.63
  4. Step 4: Simplify right side
    342,456.75x = 297,457,478,561.39
  5. Step 5: Solve for x
    x = 297,457,478,561.39/342,456.75
  6. Step 6: Final answer
    x = 868,598.67

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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.