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Finding the Third Proportional to 145,143 and 307,903

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Solution

The third proportional to 145,143 and 307,903 is: 653,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,143 : 307,903 = 307,903 : x
  2. Step 2: Convert to fraction form
    145,143/307,903 = 307,903/x
  3. Step 3: Cross multiply
    145,143x = 307,903 × 307,903
  4. Step 4: Simplify right side
    145,143x = 94,804,257,409
  5. Step 5: Solve for x
    x = 94,804,257,409/145,143
  6. Step 6: Final answer
    x = 653,178.30

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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.