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Finding the Third Proportional to 43,820 and 71,547

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Solution

The third proportional to 43,820 and 71,547 is: 116,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,820 : 71,547 = 71,547 : x
  2. Step 2: Convert to fraction form
    43,820/71,547 = 71,547/x
  3. Step 3: Cross multiply
    43,820x = 71,547 × 71,547
  4. Step 4: Simplify right side
    43,820x = 5,118,973,209
  5. Step 5: Solve for x
    x = 5,118,973,209/43,820
  6. Step 6: Final answer
    x = 116,818.19

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.