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Finding the Third Proportional to 670,479 and 1,427,379

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Solution

The third proportional to 670,479 and 1,427,379 is: 3,038,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,479 : 1,427,379 = 1,427,379 : x
  2. Step 2: Convert to fraction form
    670,479/1,427,379 = 1,427,379/x
  3. Step 3: Cross multiply
    670,479x = 1,427,379 × 1,427,379
  4. Step 4: Simplify right side
    670,479x = 2,037,410,809,641
  5. Step 5: Solve for x
    x = 2,037,410,809,641/670,479
  6. Step 6: Final answer
    x = 3,038,739.18

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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.