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Finding the Third Proportional to 579,857 and 870,877

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Solution

The third proportional to 579,857 and 870,877 is: 1,307,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,857 : 870,877 = 870,877 : x
  2. Step 2: Convert to fraction form
    579,857/870,877 = 870,877/x
  3. Step 3: Cross multiply
    579,857x = 870,877 × 870,877
  4. Step 4: Simplify right side
    579,857x = 758,426,749,129
  5. Step 5: Solve for x
    x = 758,426,749,129/579,857
  6. Step 6: Final answer
    x = 1,307,954.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.