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Finding the Third Proportional to 347,688 and 722,020

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Solution

The third proportional to 347,688 and 722,020 is: 1,499,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,688 : 722,020 = 722,020 : x
  2. Step 2: Convert to fraction form
    347,688/722,020 = 722,020/x
  3. Step 3: Cross multiply
    347,688x = 722,020 × 722,020
  4. Step 4: Simplify right side
    347,688x = 521,312,880,400
  5. Step 5: Solve for x
    x = 521,312,880,400/347,688
  6. Step 6: Final answer
    x = 1,499,369.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.