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Finding the Third Proportional to 357,840 and 758,340

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Solution

The third proportional to 357,840 and 758,340 is: 1,607,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,840 : 758,340 = 758,340 : x
  2. Step 2: Convert to fraction form
    357,840/758,340 = 758,340/x
  3. Step 3: Cross multiply
    357,840x = 758,340 × 758,340
  4. Step 4: Simplify right side
    357,840x = 575,079,555,600
  5. Step 5: Solve for x
    x = 575,079,555,600/357,840
  6. Step 6: Final answer
    x = 1,607,085.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.