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Finding the Third Proportional to 319,998 and 740,817

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Solution

The third proportional to 319,998 and 740,817 is: 1,715,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,998 : 740,817 = 740,817 : x
  2. Step 2: Convert to fraction form
    319,998/740,817 = 740,817/x
  3. Step 3: Cross multiply
    319,998x = 740,817 × 740,817
  4. Step 4: Simplify right side
    319,998x = 548,809,827,489
  5. Step 5: Solve for x
    x = 548,809,827,489/319,998
  6. Step 6: Final answer
    x = 1,715,041.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.