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Finding the Third Proportional to 320,295,611.81 and 512,681,445.56

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Solution

The third proportional to 320,295,611.81 and 512,681,445.56 is: 820,623,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,295,611.81 : 512,681,445.56 = 512,681,445.56 : x
  2. Step 2: Convert to fraction form
    320,295,611.81/512,681,445.56 = 512,681,445.56/x
  3. Step 3: Cross multiply
    320,295,611.81x = 512,681,445.56 × 512,681,445.56
  4. Step 4: Simplify right side
    320,295,611.81x = 262,842,264,624,054,656
  5. Step 5: Solve for x
    x = 262,842,264,624,054,656/320,295,611.81
  6. Step 6: Final answer
    x = 820,623,995.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.