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Finding the Third Proportional to 278,916 and 611,076

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Solution

The third proportional to 278,916 and 611,076 is: 1,338,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,916 : 611,076 = 611,076 : x
  2. Step 2: Convert to fraction form
    278,916/611,076 = 611,076/x
  3. Step 3: Cross multiply
    278,916x = 611,076 × 611,076
  4. Step 4: Simplify right side
    278,916x = 373,413,877,776
  5. Step 5: Solve for x
    x = 373,413,877,776/278,916
  6. Step 6: Final answer
    x = 1,338,804.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.