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Finding the Third Proportional to 345,057 and 745,518

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Solution

The third proportional to 345,057 and 745,518 is: 1,610,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,057 : 745,518 = 745,518 : x
  2. Step 2: Convert to fraction form
    345,057/745,518 = 745,518/x
  3. Step 3: Cross multiply
    345,057x = 745,518 × 745,518
  4. Step 4: Simplify right side
    345,057x = 555,797,088,324
  5. Step 5: Solve for x
    x = 555,797,088,324/345,057
  6. Step 6: Final answer
    x = 1,610,739.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.