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Finding the Third Proportional to 292,196 and 628,778

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Solution

The third proportional to 292,196 and 628,778 is: 1,353,070.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,196 : 628,778 = 628,778 : x
  2. Step 2: Convert to fraction form
    292,196/628,778 = 628,778/x
  3. Step 3: Cross multiply
    292,196x = 628,778 × 628,778
  4. Step 4: Simplify right side
    292,196x = 395,361,773,284
  5. Step 5: Solve for x
    x = 395,361,773,284/292,196
  6. Step 6: Final answer
    x = 1,353,070.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.