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Finding the Third Proportional to 319,938 and 740,677

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Solution

The third proportional to 319,938 and 740,677 is: 1,714,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,938 : 740,677 = 740,677 : x
  2. Step 2: Convert to fraction form
    319,938/740,677 = 740,677/x
  3. Step 3: Cross multiply
    319,938x = 740,677 × 740,677
  4. Step 4: Simplify right side
    319,938x = 548,602,418,329
  5. Step 5: Solve for x
    x = 548,602,418,329/319,938
  6. Step 6: Final answer
    x = 1,714,714.78

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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.