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Finding the Third Proportional to 320,004 and 700,272

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Solution

The third proportional to 320,004 and 700,272 is: 1,532,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,004 : 700,272 = 700,272 : x
  2. Step 2: Convert to fraction form
    320,004/700,272 = 700,272/x
  3. Step 3: Cross multiply
    320,004x = 700,272 × 700,272
  4. Step 4: Simplify right side
    320,004x = 490,380,873,984
  5. Step 5: Solve for x
    x = 490,380,873,984/320,004
  6. Step 6: Final answer
    x = 1,532,421.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.