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Finding the Third Proportional to 278,516 and 405,862

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Solution

The third proportional to 278,516 and 405,862 is: 591,434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,516 : 405,862 = 405,862 : x
  2. Step 2: Convert to fraction form
    278,516/405,862 = 405,862/x
  3. Step 3: Cross multiply
    278,516x = 405,862 × 405,862
  4. Step 4: Simplify right side
    278,516x = 164,723,963,044
  5. Step 5: Solve for x
    x = 164,723,963,044/278,516
  6. Step 6: Final answer
    x = 591,434.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.