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Finding the Third Proportional to 145,305 and 299,898

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Solution

The third proportional to 145,305 and 299,898 is: 618,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,305 : 299,898 = 299,898 : x
  2. Step 2: Convert to fraction form
    145,305/299,898 = 299,898/x
  3. Step 3: Cross multiply
    145,305x = 299,898 × 299,898
  4. Step 4: Simplify right side
    145,305x = 89,938,810,404
  5. Step 5: Solve for x
    x = 89,938,810,404/145,305
  6. Step 6: Final answer
    x = 618,965.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.