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Finding the Third Proportional to 299,276 and 640,060

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Solution

The third proportional to 299,276 and 640,060 is: 1,368,892.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,276 : 640,060 = 640,060 : x
  2. Step 2: Convert to fraction form
    299,276/640,060 = 640,060/x
  3. Step 3: Cross multiply
    299,276x = 640,060 × 640,060
  4. Step 4: Simplify right side
    299,276x = 409,676,803,600
  5. Step 5: Solve for x
    x = 409,676,803,600/299,276
  6. Step 6: Final answer
    x = 1,368,892.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.