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Finding the Third Proportional to 945,040 and 1,452,560

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Solution

The third proportional to 945,040 and 1,452,560 is: 2,232,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,040 : 1,452,560 = 1,452,560 : x
  2. Step 2: Convert to fraction form
    945,040/1,452,560 = 1,452,560/x
  3. Step 3: Cross multiply
    945,040x = 1,452,560 × 1,452,560
  4. Step 4: Simplify right side
    945,040x = 2,109,930,553,600
  5. Step 5: Solve for x
    x = 2,109,930,553,600/945,040
  6. Step 6: Final answer
    x = 2,232,636.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.