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Finding the Third Proportional to 429,391.13 and 630,964.69

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Solution

The third proportional to 429,391.13 and 630,964.69 is: 927,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,391.13 : 630,964.69 = 630,964.69 : x
  2. Step 2: Convert to fraction form
    429,391.13/630,964.69 = 630,964.69/x
  3. Step 3: Cross multiply
    429,391.13x = 630,964.69 × 630,964.69
  4. Step 4: Simplify right side
    429,391.13x = 398,116,436,871.97
  5. Step 5: Solve for x
    x = 398,116,436,871.97/429,391.13
  6. Step 6: Final answer
    x = 927,165.03

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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.