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Finding the Third Proportional to 1,351,680 and 1,824,540

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Solution

The third proportional to 1,351,680 and 1,824,540 is: 2,462,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351,680 : 1,824,540 = 1,824,540 : x
  2. Step 2: Convert to fraction form
    1,351,680/1,824,540 = 1,824,540/x
  3. Step 3: Cross multiply
    1,351,680x = 1,824,540 × 1,824,540
  4. Step 4: Simplify right side
    1,351,680x = 3,328,946,211,600
  5. Step 5: Solve for x
    x = 3,328,946,211,600/1,351,680
  6. Step 6: Final answer
    x = 2,462,821.24

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.