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Finding the Third Proportional to 426,581 and 644,407

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Solution

The third proportional to 426,581 and 644,407 is: 973,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,581 : 644,407 = 644,407 : x
  2. Step 2: Convert to fraction form
    426,581/644,407 = 644,407/x
  3. Step 3: Cross multiply
    426,581x = 644,407 × 644,407
  4. Step 4: Simplify right side
    426,581x = 415,260,381,649
  5. Step 5: Solve for x
    x = 415,260,381,649/426,581
  6. Step 6: Final answer
    x = 973,461.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.