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Finding the Third Proportional to 429,146 and 630,581

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Solution

The third proportional to 429,146 and 630,581 is: 926,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,146 : 630,581 = 630,581 : x
  2. Step 2: Convert to fraction form
    429,146/630,581 = 630,581/x
  3. Step 3: Cross multiply
    429,146x = 630,581 × 630,581
  4. Step 4: Simplify right side
    429,146x = 397,632,397,561
  5. Step 5: Solve for x
    x = 397,632,397,561/429,146
  6. Step 6: Final answer
    x = 926,566.71

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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.