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Finding the Third Proportional to 339,656 and 719,770

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Solution

The third proportional to 339,656 and 719,770 is: 1,525,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,656 : 719,770 = 719,770 : x
  2. Step 2: Convert to fraction form
    339,656/719,770 = 719,770/x
  3. Step 3: Cross multiply
    339,656x = 719,770 × 719,770
  4. Step 4: Simplify right side
    339,656x = 518,068,852,900
  5. Step 5: Solve for x
    x = 518,068,852,900/339,656
  6. Step 6: Final answer
    x = 1,525,275.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.