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Finding the Third Proportional to 429,216 and 630,656

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Solution

The third proportional to 429,216 and 630,656 is: 926,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,216 : 630,656 = 630,656 : x
  2. Step 2: Convert to fraction form
    429,216/630,656 = 630,656/x
  3. Step 3: Cross multiply
    429,216x = 630,656 × 630,656
  4. Step 4: Simplify right side
    429,216x = 397,726,990,336
  5. Step 5: Solve for x
    x = 397,726,990,336/429,216
  6. Step 6: Final answer
    x = 926,635.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.