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Finding the Third Proportional to 358,840 and 754,856

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Solution

The third proportional to 358,840 and 754,856 is: 1,587,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,840 : 754,856 = 754,856 : x
  2. Step 2: Convert to fraction form
    358,840/754,856 = 754,856/x
  3. Step 3: Cross multiply
    358,840x = 754,856 × 754,856
  4. Step 4: Simplify right side
    358,840x = 569,807,580,736
  5. Step 5: Solve for x
    x = 569,807,580,736/358,840
  6. Step 6: Final answer
    x = 1,587,915.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.