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Finding the Third Proportional to 670,483 and 1,427,387

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Solution

The third proportional to 670,483 and 1,427,387 is: 3,038,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,483 : 1,427,387 = 1,427,387 : x
  2. Step 2: Convert to fraction form
    670,483/1,427,387 = 1,427,387/x
  3. Step 3: Cross multiply
    670,483x = 1,427,387 × 1,427,387
  4. Step 4: Simplify right side
    670,483x = 2,037,433,647,769
  5. Step 5: Solve for x
    x = 2,037,433,647,769/670,483
  6. Step 6: Final answer
    x = 3,038,755.12

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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.