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Finding the Third Proportional to 351,380 and 747,776

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Solution

The third proportional to 351,380 and 747,776 is: 1,591,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,380 : 747,776 = 747,776 : x
  2. Step 2: Convert to fraction form
    351,380/747,776 = 747,776/x
  3. Step 3: Cross multiply
    351,380x = 747,776 × 747,776
  4. Step 4: Simplify right side
    351,380x = 559,168,946,176
  5. Step 5: Solve for x
    x = 559,168,946,176/351,380
  6. Step 6: Final answer
    x = 1,591,351.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.