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Finding the Third Proportional to 354,723 and 521,712

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Solution

The third proportional to 354,723 and 521,712 is: 767,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,723 : 521,712 = 521,712 : x
  2. Step 2: Convert to fraction form
    354,723/521,712 = 521,712/x
  3. Step 3: Cross multiply
    354,723x = 521,712 × 521,712
  4. Step 4: Simplify right side
    354,723x = 272,183,410,944
  5. Step 5: Solve for x
    x = 272,183,410,944/354,723
  6. Step 6: Final answer
    x = 767,312.55

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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.