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Finding the Third Proportional to 328,302 and 705,643

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Solution

The third proportional to 328,302 and 705,643 is: 1,516,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,302 : 705,643 = 705,643 : x
  2. Step 2: Convert to fraction form
    328,302/705,643 = 705,643/x
  3. Step 3: Cross multiply
    328,302x = 705,643 × 705,643
  4. Step 4: Simplify right side
    328,302x = 497,932,043,449
  5. Step 5: Solve for x
    x = 497,932,043,449/328,302
  6. Step 6: Final answer
    x = 1,516,689.03

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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.