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Finding the Third Proportional to 43,582 and 69,639

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Solution

The third proportional to 43,582 and 69,639 is: 111,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,582 : 69,639 = 69,639 : x
  2. Step 2: Convert to fraction form
    43,582/69,639 = 69,639/x
  3. Step 3: Cross multiply
    43,582x = 69,639 × 69,639
  4. Step 4: Simplify right side
    43,582x = 4,849,590,321
  5. Step 5: Solve for x
    x = 4,849,590,321/43,582
  6. Step 6: Final answer
    x = 111,275.08

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.