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Finding the Third Proportional to 328,423 and 705,959

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Solution

The third proportional to 328,423 and 705,959 is: 1,517,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,423 : 705,959 = 705,959 : x
  2. Step 2: Convert to fraction form
    328,423/705,959 = 705,959/x
  3. Step 3: Cross multiply
    328,423x = 705,959 × 705,959
  4. Step 4: Simplify right side
    328,423x = 498,378,109,681
  5. Step 5: Solve for x
    x = 498,378,109,681/328,423
  6. Step 6: Final answer
    x = 1,517,488.45

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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.