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Finding the Third Proportional to 491,148 and 758,418

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Solution

The third proportional to 491,148 and 758,418 is: 1,171,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,148 : 758,418 = 758,418 : x
  2. Step 2: Convert to fraction form
    491,148/758,418 = 758,418/x
  3. Step 3: Cross multiply
    491,148x = 758,418 × 758,418
  4. Step 4: Simplify right side
    491,148x = 575,197,862,724
  5. Step 5: Solve for x
    x = 575,197,862,724/491,148
  6. Step 6: Final answer
    x = 1,171,129.40

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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.