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Finding the Third Proportional to 47,426,577 and 102,043,362

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Solution

The third proportional to 47,426,577 and 102,043,362 is: 219,557,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,426,577 : 102,043,362 = 102,043,362 : x
  2. Step 2: Convert to fraction form
    47,426,577/102,043,362 = 102,043,362/x
  3. Step 3: Cross multiply
    47,426,577x = 102,043,362 × 102,043,362
  4. Step 4: Simplify right side
    47,426,577x = 10,412,847,728,263,044
  5. Step 5: Solve for x
    x = 10,412,847,728,263,044/47,426,577
  6. Step 6: Final answer
    x = 219,557,226.92

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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.