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Finding the Third Proportional to 429,768 and 945,312

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Solution

The third proportional to 429,768 and 945,312 is: 2,079,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,768 : 945,312 = 945,312 : x
  2. Step 2: Convert to fraction form
    429,768/945,312 = 945,312/x
  3. Step 3: Cross multiply
    429,768x = 945,312 × 945,312
  4. Step 4: Simplify right side
    429,768x = 893,614,777,344
  5. Step 5: Solve for x
    x = 893,614,777,344/429,768
  6. Step 6: Final answer
    x = 2,079,295.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.