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Finding the Third Proportional to 357,430 and 744,272

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Solution

The third proportional to 357,430 and 744,272 is: 1,549,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,430 : 744,272 = 744,272 : x
  2. Step 2: Convert to fraction form
    357,430/744,272 = 744,272/x
  3. Step 3: Cross multiply
    357,430x = 744,272 × 744,272
  4. Step 4: Simplify right side
    357,430x = 553,940,809,984
  5. Step 5: Solve for x
    x = 553,940,809,984/357,430
  6. Step 6: Final answer
    x = 1,549,788.24

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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.