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Finding the Third Proportional to 320,258,947.50 and 699,242,125.50

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Solution

The third proportional to 320,258,947.50 and 699,242,125.50 is: 1,526,700,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,258,947.50 : 699,242,125.50 = 699,242,125.50 : x
  2. Step 2: Convert to fraction form
    320,258,947.50/699,242,125.50 = 699,242,125.50/x
  3. Step 3: Cross multiply
    320,258,947.50x = 699,242,125.50 × 699,242,125.50
  4. Step 4: Simplify right side
    320,258,947.50x = 488,939,550,073,757,760
  5. Step 5: Solve for x
    x = 488,939,550,073,757,760/320,258,947.50
  6. Step 6: Final answer
    x = 1,526,700,671.10

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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.