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Finding the Third Proportional to 357,604 and 756,680

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Solution

The third proportional to 357,604 and 756,680 is: 1,601,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,604 : 756,680 = 756,680 : x
  2. Step 2: Convert to fraction form
    357,604/756,680 = 756,680/x
  3. Step 3: Cross multiply
    357,604x = 756,680 × 756,680
  4. Step 4: Simplify right side
    357,604x = 572,564,622,400
  5. Step 5: Solve for x
    x = 572,564,622,400/357,604
  6. Step 6: Final answer
    x = 1,601,113.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.