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Finding the Third Proportional to 326,484 and 512,730

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Solution

The third proportional to 326,484 and 512,730 is: 805,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,484 : 512,730 = 512,730 : x
  2. Step 2: Convert to fraction form
    326,484/512,730 = 512,730/x
  3. Step 3: Cross multiply
    326,484x = 512,730 × 512,730
  4. Step 4: Simplify right side
    326,484x = 262,892,052,900
  5. Step 5: Solve for x
    x = 262,892,052,900/326,484
  6. Step 6: Final answer
    x = 805,221.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.