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Finding the Third Proportional to 357,459 and 744,321

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Solution

The third proportional to 357,459 and 744,321 is: 1,549,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,459 : 744,321 = 744,321 : x
  2. Step 2: Convert to fraction form
    357,459/744,321 = 744,321/x
  3. Step 3: Cross multiply
    357,459x = 744,321 × 744,321
  4. Step 4: Simplify right side
    357,459x = 554,013,751,041
  5. Step 5: Solve for x
    x = 554,013,751,041/357,459
  6. Step 6: Final answer
    x = 1,549,866.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.