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Finding the Third Proportional to 278,857.69 and 602,002.13

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Solution

The third proportional to 278,857.69 and 602,002.13 is: 1,299,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,857.69 : 602,002.13 = 602,002.13 : x
  2. Step 2: Convert to fraction form
    278,857.69/602,002.13 = 602,002.13/x
  3. Step 3: Cross multiply
    278,857.69x = 602,002.13 × 602,002.13
  4. Step 4: Simplify right side
    278,857.69x = 362,406,558,504.52
  5. Step 5: Solve for x
    x = 362,406,558,504.52/278,857.69
  6. Step 6: Final answer
    x = 1,299,611.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.