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Finding the Third Proportional to 30,720 and 46,688

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Solution

The third proportional to 30,720 and 46,688 is: 70,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720 : 46,688 = 46,688 : x
  2. Step 2: Convert to fraction form
    30,720/46,688 = 46,688/x
  3. Step 3: Cross multiply
    30,720x = 46,688 × 46,688
  4. Step 4: Simplify right side
    30,720x = 2,179,769,344
  5. Step 5: Solve for x
    x = 2,179,769,344/30,720
  6. Step 6: Final answer
    x = 70,956.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.