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Finding the Third Proportional to 80,946 and 122,547

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Solution

The third proportional to 80,946 and 122,547 is: 185,528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,946 : 122,547 = 122,547 : x
  2. Step 2: Convert to fraction form
    80,946/122,547 = 122,547/x
  3. Step 3: Cross multiply
    80,946x = 122,547 × 122,547
  4. Step 4: Simplify right side
    80,946x = 15,017,767,209
  5. Step 5: Solve for x
    x = 15,017,767,209/80,946
  6. Step 6: Final answer
    x = 185,528.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.