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Finding the Third Proportional to 285,403.50 and 608,806.13

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Solution

The third proportional to 285,403.50 and 608,806.13 is: 1,298,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,403.50 : 608,806.13 = 608,806.13 : x
  2. Step 2: Convert to fraction form
    285,403.50/608,806.13 = 608,806.13/x
  3. Step 3: Cross multiply
    285,403.50x = 608,806.13 × 608,806.13
  4. Step 4: Simplify right side
    285,403.50x = 370,644,897,837.52
  5. Step 5: Solve for x
    x = 370,644,897,837.52/285,403.50
  6. Step 6: Final answer
    x = 1,298,669.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.