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Finding the Third Proportional to 344,205 and 745,600.50

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Solution

The third proportional to 344,205 and 745,600.50 is: 1,615,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,205 : 745,600.50 = 745,600.50 : x
  2. Step 2: Convert to fraction form
    344,205/745,600.50 = 745,600.50/x
  3. Step 3: Cross multiply
    344,205x = 745,600.50 × 745,600.50
  4. Step 4: Simplify right side
    344,205x = 555,920,105,600.25
  5. Step 5: Solve for x
    x = 555,920,105,600.25/344,205
  6. Step 6: Final answer
    x = 1,615,084.34

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