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Finding the Third Proportional to 30,690 and 64,476

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Solution

The third proportional to 30,690 and 64,476 is: 135,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,690 : 64,476 = 64,476 : x
  2. Step 2: Convert to fraction form
    30,690/64,476 = 64,476/x
  3. Step 3: Cross multiply
    30,690x = 64,476 × 64,476
  4. Step 4: Simplify right side
    30,690x = 4,157,154,576
  5. Step 5: Solve for x
    x = 4,157,154,576/30,690
  6. Step 6: Final answer
    x = 135,456.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.