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Finding the Third Proportional to 358,729 and 754,636

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Solution

The third proportional to 358,729 and 754,636 is: 1,587,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,729 : 754,636 = 754,636 : x
  2. Step 2: Convert to fraction form
    358,729/754,636 = 754,636/x
  3. Step 3: Cross multiply
    358,729x = 754,636 × 754,636
  4. Step 4: Simplify right side
    358,729x = 569,475,492,496
  5. Step 5: Solve for x
    x = 569,475,492,496/358,729
  6. Step 6: Final answer
    x = 1,587,481.06

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