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Finding the Third Proportional to 315,902 and 745,735

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Solution

The third proportional to 315,902 and 745,735 is: 1,760,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,902 : 745,735 = 745,735 : x
  2. Step 2: Convert to fraction form
    315,902/745,735 = 745,735/x
  3. Step 3: Cross multiply
    315,902x = 745,735 × 745,735
  4. Step 4: Simplify right side
    315,902x = 556,120,690,225
  5. Step 5: Solve for x
    x = 556,120,690,225/315,902
  6. Step 6: Final answer
    x = 1,760,421.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.