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Finding the Third Proportional to 174,843,288 and 381,329,136

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Solution

The third proportional to 174,843,288 and 381,329,136 is: 831,669,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,843,288 : 381,329,136 = 381,329,136 : x
  2. Step 2: Convert to fraction form
    174,843,288/381,329,136 = 381,329,136/x
  3. Step 3: Cross multiply
    174,843,288x = 381,329,136 × 381,329,136
  4. Step 4: Simplify right side
    174,843,288x = 145,411,909,962,506,496
  5. Step 5: Solve for x
    x = 145,411,909,962,506,496/174,843,288
  6. Step 6: Final answer
    x = 831,669,957.86

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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.