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Finding the Third Proportional to 310,848 and 643,809

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Solution

The third proportional to 310,848 and 643,809 is: 1,333,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,848 : 643,809 = 643,809 : x
  2. Step 2: Convert to fraction form
    310,848/643,809 = 643,809/x
  3. Step 3: Cross multiply
    310,848x = 643,809 × 643,809
  4. Step 4: Simplify right side
    310,848x = 414,490,028,481
  5. Step 5: Solve for x
    x = 414,490,028,481/310,848
  6. Step 6: Final answer
    x = 1,333,417.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.