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Finding the Third Proportional to 556,447 and 834,791

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Solution

The third proportional to 556,447 and 834,791 is: 1,252,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,447 : 834,791 = 834,791 : x
  2. Step 2: Convert to fraction form
    556,447/834,791 = 834,791/x
  3. Step 3: Cross multiply
    556,447x = 834,791 × 834,791
  4. Step 4: Simplify right side
    556,447x = 696,876,013,681
  5. Step 5: Solve for x
    x = 696,876,013,681/556,447
  6. Step 6: Final answer
    x = 1,252,367.28

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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.