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Finding the Third Proportional to 315,408 and 689,088

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Solution

The third proportional to 315,408 and 689,088 is: 1,505,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,408 : 689,088 = 689,088 : x
  2. Step 2: Convert to fraction form
    315,408/689,088 = 689,088/x
  3. Step 3: Cross multiply
    315,408x = 689,088 × 689,088
  4. Step 4: Simplify right side
    315,408x = 474,842,271,744
  5. Step 5: Solve for x
    x = 474,842,271,744/315,408
  6. Step 6: Final answer
    x = 1,505,485.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.