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Finding the Third Proportional to 205,707,840 and 439,313,904

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Solution

The third proportional to 205,707,840 and 439,313,904 is: 938,207,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,707,840 : 439,313,904 = 439,313,904 : x
  2. Step 2: Convert to fraction form
    205,707,840/439,313,904 = 439,313,904/x
  3. Step 3: Cross multiply
    205,707,840x = 439,313,904 × 439,313,904
  4. Step 4: Simplify right side
    205,707,840x = 192,996,706,247,721,216
  5. Step 5: Solve for x
    x = 192,996,706,247,721,216/205,707,840
  6. Step 6: Final answer
    x = 938,207,830.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.