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Finding the Third Proportional to 429,388 and 630,948

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Solution

The third proportional to 429,388 and 630,948 is: 927,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,388 : 630,948 = 630,948 : x
  2. Step 2: Convert to fraction form
    429,388/630,948 = 630,948/x
  3. Step 3: Cross multiply
    429,388x = 630,948 × 630,948
  4. Step 4: Simplify right side
    429,388x = 398,095,378,704
  5. Step 5: Solve for x
    x = 398,095,378,704/429,388
  6. Step 6: Final answer
    x = 927,122.74

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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.