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Finding the Third Proportional to 86,292,636 and 185,392,368

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Solution

The third proportional to 86,292,636 and 185,392,368 is: 398,299,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,292,636 : 185,392,368 = 185,392,368 : x
  2. Step 2: Convert to fraction form
    86,292,636/185,392,368 = 185,392,368/x
  3. Step 3: Cross multiply
    86,292,636x = 185,392,368 × 185,392,368
  4. Step 4: Simplify right side
    86,292,636x = 34,370,330,112,647,424
  5. Step 5: Solve for x
    x = 34,370,330,112,647,424/86,292,636
  6. Step 6: Final answer
    x = 398,299,689.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.