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Finding the Third Proportional to 628,056 and 970,312

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Solution

The third proportional to 628,056 and 970,312 is: 1,499,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,056 : 970,312 = 970,312 : x
  2. Step 2: Convert to fraction form
    628,056/970,312 = 970,312/x
  3. Step 3: Cross multiply
    628,056x = 970,312 × 970,312
  4. Step 4: Simplify right side
    628,056x = 941,505,377,344
  5. Step 5: Solve for x
    x = 941,505,377,344/628,056
  6. Step 6: Final answer
    x = 1,499,078.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.