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Finding the Third Proportional to 347,688 and 747,369

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Solution

The third proportional to 347,688 and 747,369 is: 1,606,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,688 : 747,369 = 747,369 : x
  2. Step 2: Convert to fraction form
    347,688/747,369 = 747,369/x
  3. Step 3: Cross multiply
    347,688x = 747,369 × 747,369
  4. Step 4: Simplify right side
    347,688x = 558,560,422,161
  5. Step 5: Solve for x
    x = 558,560,422,161/347,688
  6. Step 6: Final answer
    x = 1,606,498.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.