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Finding the Third Proportional to 670,357 and 1,428,413

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Solution

The third proportional to 670,357 and 1,428,413 is: 3,043,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,357 : 1,428,413 = 1,428,413 : x
  2. Step 2: Convert to fraction form
    670,357/1,428,413 = 1,428,413/x
  3. Step 3: Cross multiply
    670,357x = 1,428,413 × 1,428,413
  4. Step 4: Simplify right side
    670,357x = 2,040,363,698,569
  5. Step 5: Solve for x
    x = 2,040,363,698,569/670,357
  6. Step 6: Final answer
    x = 3,043,697.16

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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.