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Finding the Third Proportional to 357,330 and 714,660

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Solution

The third proportional to 357,330 and 714,660 is: 1,429,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,330 : 714,660 = 714,660 : x
  2. Step 2: Convert to fraction form
    357,330/714,660 = 714,660/x
  3. Step 3: Cross multiply
    357,330x = 714,660 × 714,660
  4. Step 4: Simplify right side
    357,330x = 510,738,915,600
  5. Step 5: Solve for x
    x = 510,738,915,600/357,330
  6. Step 6: Final answer
    x = 1,429,320

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.