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Finding the Third Proportional to 278,314 and 609,140

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Solution

The third proportional to 278,314 and 609,140 is: 1,333,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,314 : 609,140 = 609,140 : x
  2. Step 2: Convert to fraction form
    278,314/609,140 = 609,140/x
  3. Step 3: Cross multiply
    278,314x = 609,140 × 609,140
  4. Step 4: Simplify right side
    278,314x = 371,051,539,600
  5. Step 5: Solve for x
    x = 371,051,539,600/278,314
  6. Step 6: Final answer
    x = 1,333,211.91

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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.