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Finding the Third Proportional to 81,631,490 and 177,611,426

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Solution

The third proportional to 81,631,490 and 177,611,426 is: 386,441,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,631,490 : 177,611,426 = 177,611,426 : x
  2. Step 2: Convert to fraction form
    81,631,490/177,611,426 = 177,611,426/x
  3. Step 3: Cross multiply
    81,631,490x = 177,611,426 × 177,611,426
  4. Step 4: Simplify right side
    81,631,490x = 31,545,818,645,753,476
  5. Step 5: Solve for x
    x = 31,545,818,645,753,476/81,631,490
  6. Step 6: Final answer
    x = 386,441,784.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.