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Finding the Third Proportional to 299,202 and 645,060

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Solution

The third proportional to 299,202 and 645,060 is: 1,390,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,202 : 645,060 = 645,060 : x
  2. Step 2: Convert to fraction form
    299,202/645,060 = 645,060/x
  3. Step 3: Cross multiply
    299,202x = 645,060 × 645,060
  4. Step 4: Simplify right side
    299,202x = 416,102,403,600
  5. Step 5: Solve for x
    x = 416,102,403,600/299,202
  6. Step 6: Final answer
    x = 1,390,707.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.