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Finding the Third Proportional to 319,924 and 740,636

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Solution

The third proportional to 319,924 and 740,636 is: 1,714,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,924 : 740,636 = 740,636 : x
  2. Step 2: Convert to fraction form
    319,924/740,636 = 740,636/x
  3. Step 3: Cross multiply
    319,924x = 740,636 × 740,636
  4. Step 4: Simplify right side
    319,924x = 548,541,684,496
  5. Step 5: Solve for x
    x = 548,541,684,496/319,924
  6. Step 6: Final answer
    x = 1,714,599.98

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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.