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Finding the Third Proportional to 727,485 and 1,585,257

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Solution

The third proportional to 727,485 and 1,585,257 is: 3,454,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,485 : 1,585,257 = 1,585,257 : x
  2. Step 2: Convert to fraction form
    727,485/1,585,257 = 1,585,257/x
  3. Step 3: Cross multiply
    727,485x = 1,585,257 × 1,585,257
  4. Step 4: Simplify right side
    727,485x = 2,513,039,756,049
  5. Step 5: Solve for x
    x = 2,513,039,756,049/727,485
  6. Step 6: Final answer
    x = 3,454,421.41

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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.