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Finding the Third Proportional to 299,045 and 653,130

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Solution

The third proportional to 299,045 and 653,130 is: 1,426,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,045 : 653,130 = 653,130 : x
  2. Step 2: Convert to fraction form
    299,045/653,130 = 653,130/x
  3. Step 3: Cross multiply
    299,045x = 653,130 × 653,130
  4. Step 4: Simplify right side
    299,045x = 426,578,796,900
  5. Step 5: Solve for x
    x = 426,578,796,900/299,045
  6. Step 6: Final answer
    x = 1,426,470.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.