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Finding the Third Proportional to 357,240 and 770,565

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Solution

The third proportional to 357,240 and 770,565 is: 1,662,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,240 : 770,565 = 770,565 : x
  2. Step 2: Convert to fraction form
    357,240/770,565 = 770,565/x
  3. Step 3: Cross multiply
    357,240x = 770,565 × 770,565
  4. Step 4: Simplify right side
    357,240x = 593,770,419,225
  5. Step 5: Solve for x
    x = 593,770,419,225/357,240
  6. Step 6: Final answer
    x = 1,662,105.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.