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Finding the Third Proportional to 320,259,295.50 and 699,242,943

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Solution

The third proportional to 320,259,295.50 and 699,242,943 is: 1,526,702,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,259,295.50 : 699,242,943 = 699,242,943 : x
  2. Step 2: Convert to fraction form
    320,259,295.50/699,242,943 = 699,242,943/x
  3. Step 3: Cross multiply
    320,259,295.50x = 699,242,943 × 699,242,943
  4. Step 4: Simplify right side
    320,259,295.50x = 488,940,693,335,301,248
  5. Step 5: Solve for x
    x = 488,940,693,335,301,248/320,259,295.50
  6. Step 6: Final answer
    x = 1,526,702,581.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.