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Finding the Third Proportional to 310,983 and 653,298

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Solution

The third proportional to 310,983 and 653,298 is: 1,372,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,983 : 653,298 = 653,298 : x
  2. Step 2: Convert to fraction form
    310,983/653,298 = 653,298/x
  3. Step 3: Cross multiply
    310,983x = 653,298 × 653,298
  4. Step 4: Simplify right side
    310,983x = 426,798,276,804
  5. Step 5: Solve for x
    x = 426,798,276,804/310,983
  6. Step 6: Final answer
    x = 1,372,416.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.