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Finding the Third Proportional to 579,840 and 877,781

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Solution

The third proportional to 579,840 and 877,781 is: 1,328,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,840 : 877,781 = 877,781 : x
  2. Step 2: Convert to fraction form
    579,840/877,781 = 877,781/x
  3. Step 3: Cross multiply
    579,840x = 877,781 × 877,781
  4. Step 4: Simplify right side
    579,840x = 770,499,483,961
  5. Step 5: Solve for x
    x = 770,499,483,961/579,840
  6. Step 6: Final answer
    x = 1,328,813.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.