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Finding the Third Proportional to 308,816,813 and 678,845,571

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Solution

The third proportional to 308,816,813 and 678,845,571 is: 1,492,248,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,816,813 : 678,845,571 = 678,845,571 : x
  2. Step 2: Convert to fraction form
    308,816,813/678,845,571 = 678,845,571/x
  3. Step 3: Cross multiply
    308,816,813x = 678,845,571 × 678,845,571
  4. Step 4: Simplify right side
    308,816,813x = 460,831,309,266,316,032
  5. Step 5: Solve for x
    x = 460,831,309,266,316,032/308,816,813
  6. Step 6: Final answer
    x = 1,492,248,122.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.