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Finding the Third Proportional to 81,631,492 and 177,611,430

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Solution

The third proportional to 81,631,492 and 177,611,430 is: 386,441,792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,631,492 : 177,611,430 = 177,611,430 : x
  2. Step 2: Convert to fraction form
    81,631,492/177,611,430 = 177,611,430/x
  3. Step 3: Cross multiply
    81,631,492x = 177,611,430 × 177,611,430
  4. Step 4: Simplify right side
    81,631,492x = 31,545,820,066,644,900
  5. Step 5: Solve for x
    x = 31,545,820,066,644,900/81,631,492
  6. Step 6: Final answer
    x = 386,441,792.18

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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.