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Finding the Third Proportional to 328,298 and 705,640

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Solution

The third proportional to 328,298 and 705,640 is: 1,516,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,298 : 705,640 = 705,640 : x
  2. Step 2: Convert to fraction form
    328,298/705,640 = 705,640/x
  3. Step 3: Cross multiply
    328,298x = 705,640 × 705,640
  4. Step 4: Simplify right side
    328,298x = 497,927,809,600
  5. Step 5: Solve for x
    x = 497,927,809,600/328,298
  6. Step 6: Final answer
    x = 1,516,694.62

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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.