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Finding the Third Proportional to 343,410 and 745,904

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Solution

The third proportional to 343,410 and 745,904 is: 1,620,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,410 : 745,904 = 745,904 : x
  2. Step 2: Convert to fraction form
    343,410/745,904 = 745,904/x
  3. Step 3: Cross multiply
    343,410x = 745,904 × 745,904
  4. Step 4: Simplify right side
    343,410x = 556,372,777,216
  5. Step 5: Solve for x
    x = 556,372,777,216/343,410
  6. Step 6: Final answer
    x = 1,620,141.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.