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Finding the Third Proportional to 343,409.63 and 745,902.84

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Solution

The third proportional to 343,409.63 and 745,902.84 is: 1,620,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,409.63 : 745,902.84 = 745,902.84 : x
  2. Step 2: Convert to fraction form
    343,409.63/745,902.84 = 745,902.84/x
  3. Step 3: Cross multiply
    343,409.63x = 745,902.84 × 745,902.84
  4. Step 4: Simplify right side
    343,409.63x = 556,371,052,314.34
  5. Step 5: Solve for x
    x = 556,371,052,314.34/343,409.63
  6. Step 6: Final answer
    x = 1,620,138.20

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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.