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Finding the Third Proportional to 145,429 and 304,102

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Solution

The third proportional to 145,429 and 304,102 is: 635,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429 : 304,102 = 304,102 : x
  2. Step 2: Convert to fraction form
    145,429/304,102 = 304,102/x
  3. Step 3: Cross multiply
    145,429x = 304,102 × 304,102
  4. Step 4: Simplify right side
    145,429x = 92,478,026,404
  5. Step 5: Solve for x
    x = 92,478,026,404/145,429
  6. Step 6: Final answer
    x = 635,898.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.