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Finding the Third Proportional to 640,726 and 928,038

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Solution

The third proportional to 640,726 and 928,038 is: 1,344,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,726 : 928,038 = 928,038 : x
  2. Step 2: Convert to fraction form
    640,726/928,038 = 928,038/x
  3. Step 3: Cross multiply
    640,726x = 928,038 × 928,038
  4. Step 4: Simplify right side
    640,726x = 861,254,529,444
  5. Step 5: Solve for x
    x = 861,254,529,444/640,726
  6. Step 6: Final answer
    x = 1,344,185.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.