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Finding the Third Proportional to 328,261 and 706,742

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Solution

The third proportional to 328,261 and 706,742 is: 1,521,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,261 : 706,742 = 706,742 : x
  2. Step 2: Convert to fraction form
    328,261/706,742 = 706,742/x
  3. Step 3: Cross multiply
    328,261x = 706,742 × 706,742
  4. Step 4: Simplify right side
    328,261x = 499,484,254,564
  5. Step 5: Solve for x
    x = 499,484,254,564/328,261
  6. Step 6: Final answer
    x = 1,521,607.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.