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Finding the Third Proportional to 77,982,630 and 168,968,826

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Solution

The third proportional to 77,982,630 and 168,968,826 is: 366,113,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982,630 : 168,968,826 = 168,968,826 : x
  2. Step 2: Convert to fraction form
    77,982,630/168,968,826 = 168,968,826/x
  3. Step 3: Cross multiply
    77,982,630x = 168,968,826 × 168,968,826
  4. Step 4: Simplify right side
    77,982,630x = 28,550,464,159,818,276
  5. Step 5: Solve for x
    x = 28,550,464,159,818,276/77,982,630
  6. Step 6: Final answer
    x = 366,113,122.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.