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Finding the Third Proportional to 145,493,916 and 315,204,456

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Solution

The third proportional to 145,493,916 and 315,204,456 is: 682,872,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,493,916 : 315,204,456 = 315,204,456 : x
  2. Step 2: Convert to fraction form
    145,493,916/315,204,456 = 315,204,456/x
  3. Step 3: Cross multiply
    145,493,916x = 315,204,456 × 315,204,456
  4. Step 4: Simplify right side
    145,493,916x = 99,353,849,082,255,936
  5. Step 5: Solve for x
    x = 99,353,849,082,255,936/145,493,916
  6. Step 6: Final answer
    x = 682,872,877.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.