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Finding the Third Proportional to 380,365 and 803,173

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Solution

The third proportional to 380,365 and 803,173 is: 1,695,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,365 : 803,173 = 803,173 : x
  2. Step 2: Convert to fraction form
    380,365/803,173 = 803,173/x
  3. Step 3: Cross multiply
    380,365x = 803,173 × 803,173
  4. Step 4: Simplify right side
    380,365x = 645,086,867,929
  5. Step 5: Solve for x
    x = 645,086,867,929/380,365
  6. Step 6: Final answer
    x = 1,695,968.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.