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Finding the Third Proportional to 264,742 and 399,553

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Solution

The third proportional to 264,742 and 399,553 is: 603,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,742 : 399,553 = 399,553 : x
  2. Step 2: Convert to fraction form
    264,742/399,553 = 399,553/x
  3. Step 3: Cross multiply
    264,742x = 399,553 × 399,553
  4. Step 4: Simplify right side
    264,742x = 159,642,599,809
  5. Step 5: Solve for x
    x = 159,642,599,809/264,742
  6. Step 6: Final answer
    x = 603,011.99

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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.