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Finding the Third Proportional to 30,688 and 66,919

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Solution

The third proportional to 30,688 and 66,919 is: 145,925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,688 : 66,919 = 66,919 : x
  2. Step 2: Convert to fraction form
    30,688/66,919 = 66,919/x
  3. Step 3: Cross multiply
    30,688x = 66,919 × 66,919
  4. Step 4: Simplify right side
    30,688x = 4,478,152,561
  5. Step 5: Solve for x
    x = 4,478,152,561/30,688
  6. Step 6: Final answer
    x = 145,925.20

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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.