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Finding the Third Proportional to 30,356 and 65,703

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Solution

The third proportional to 30,356 and 65,703 is: 142,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,356 : 65,703 = 65,703 : x
  2. Step 2: Convert to fraction form
    30,356/65,703 = 65,703/x
  3. Step 3: Cross multiply
    30,356x = 65,703 × 65,703
  4. Step 4: Simplify right side
    30,356x = 4,316,884,209
  5. Step 5: Solve for x
    x = 4,316,884,209/30,356
  6. Step 6: Final answer
    x = 142,208.60

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Why These Related Problems?

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