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Finding the Third Proportional to 489,781.69 and 705,459.38

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Solution

The third proportional to 489,781.69 and 705,459.38 is: 1,016,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,781.69 : 705,459.38 = 705,459.38 : x
  2. Step 2: Convert to fraction form
    489,781.69/705,459.38 = 705,459.38/x
  3. Step 3: Cross multiply
    489,781.69x = 705,459.38 × 705,459.38
  4. Step 4: Simplify right side
    489,781.69x = 497,672,929,775.39
  5. Step 5: Solve for x
    x = 497,672,929,775.39/489,781.69
  6. Step 6: Final answer
    x = 1,016,111.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.