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Finding the Third Proportional to 354,720 and 755,445

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Solution

The third proportional to 354,720 and 755,445 is: 1,608,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,720 : 755,445 = 755,445 : x
  2. Step 2: Convert to fraction form
    354,720/755,445 = 755,445/x
  3. Step 3: Cross multiply
    354,720x = 755,445 × 755,445
  4. Step 4: Simplify right side
    354,720x = 570,697,148,025
  5. Step 5: Solve for x
    x = 570,697,148,025/354,720
  6. Step 6: Final answer
    x = 1,608,866.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.