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Finding the Third Proportional to 342,966.75 and 509,475.75

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Solution

The third proportional to 342,966.75 and 509,475.75 is: 756,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,966.75 : 509,475.75 = 509,475.75 : x
  2. Step 2: Convert to fraction form
    342,966.75/509,475.75 = 509,475.75/x
  3. Step 3: Cross multiply
    342,966.75x = 509,475.75 × 509,475.75
  4. Step 4: Simplify right side
    342,966.75x = 259,565,539,838.06
  5. Step 5: Solve for x
    x = 259,565,539,838.06/342,966.75
  6. Step 6: Final answer
    x = 756,824.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.