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Finding the Third Proportional to 304,720 and 705,328

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Solution

The third proportional to 304,720 and 705,328 is: 1,632,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,720 : 705,328 = 705,328 : x
  2. Step 2: Convert to fraction form
    304,720/705,328 = 705,328/x
  3. Step 3: Cross multiply
    304,720x = 705,328 × 705,328
  4. Step 4: Simplify right side
    304,720x = 497,487,587,584
  5. Step 5: Solve for x
    x = 497,487,587,584/304,720
  6. Step 6: Final answer
    x = 1,632,605.63

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.