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Finding the Third Proportional to 390,187.13 and 851,280.57

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Solution

The third proportional to 390,187.13 and 851,280.57 is: 1,857,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,187.13 : 851,280.57 = 851,280.57 : x
  2. Step 2: Convert to fraction form
    390,187.13/851,280.57 = 851,280.57/x
  3. Step 3: Cross multiply
    390,187.13x = 851,280.57 × 851,280.57
  4. Step 4: Simplify right side
    390,187.13x = 724,678,616,042.21
  5. Step 5: Solve for x
    x = 724,678,616,042.21/390,187.13
  6. Step 6: Final answer
    x = 1,857,259.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.