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Finding the Third Proportional to 42,770,964 and 87,809,343

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Solution

The third proportional to 42,770,964 and 87,809,343 is: 180,273,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770,964 : 87,809,343 = 87,809,343 : x
  2. Step 2: Convert to fraction form
    42,770,964/87,809,343 = 87,809,343/x
  3. Step 3: Cross multiply
    42,770,964x = 87,809,343 × 87,809,343
  4. Step 4: Simplify right side
    42,770,964x = 7,710,480,718,091,649
  5. Step 5: Solve for x
    x = 7,710,480,718,091,649/42,770,964
  6. Step 6: Final answer
    x = 180,273,718.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.