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Finding the Third Proportional to 30,712 and 64,520

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Solution

The third proportional to 30,712 and 64,520 is: 135,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712 : 64,520 = 64,520 : x
  2. Step 2: Convert to fraction form
    30,712/64,520 = 64,520/x
  3. Step 3: Cross multiply
    30,712x = 64,520 × 64,520
  4. Step 4: Simplify right side
    30,712x = 4,162,830,400
  5. Step 5: Solve for x
    x = 4,162,830,400/30,712
  6. Step 6: Final answer
    x = 135,544.10

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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.