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Finding the Third Proportional to 1,252,126.50 and 1,878,453

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Solution

The third proportional to 1,252,126.50 and 1,878,453 is: 2,818,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252,126.50 : 1,878,453 = 1,878,453 : x
  2. Step 2: Convert to fraction form
    1,252,126.50/1,878,453 = 1,878,453/x
  3. Step 3: Cross multiply
    1,252,126.50x = 1,878,453 × 1,878,453
  4. Step 4: Simplify right side
    1,252,126.50x = 3,528,585,673,209
  5. Step 5: Solve for x
    x = 3,528,585,673,209/1,252,126.50
  6. Step 6: Final answer
    x = 2,818,074.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.