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Finding the Third Proportional to 145,138 and 307,893

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Solution

The third proportional to 145,138 and 307,893 is: 653,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,138 : 307,893 = 307,893 : x
  2. Step 2: Convert to fraction form
    145,138/307,893 = 307,893/x
  3. Step 3: Cross multiply
    145,138x = 307,893 × 307,893
  4. Step 4: Simplify right side
    145,138x = 94,798,099,449
  5. Step 5: Solve for x
    x = 94,798,099,449/145,138
  6. Step 6: Final answer
    x = 653,158.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.