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Finding the Third Proportional to 512,501,376 and 1,105,624,320

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Solution

The third proportional to 512,501,376 and 1,105,624,320 is: 2,385,174,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,501,376 : 1,105,624,320 = 1,105,624,320 : x
  2. Step 2: Convert to fraction form
    512,501,376/1,105,624,320 = 1,105,624,320/x
  3. Step 3: Cross multiply
    512,501,376x = 1,105,624,320 × 1,105,624,320
  4. Step 4: Simplify right side
    512,501,376x = 1,222,405,136,975,462,400
  5. Step 5: Solve for x
    x = 1,222,405,136,975,462,400/512,501,376
  6. Step 6: Final answer
    x = 2,385,174,351.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.