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Finding the Third Proportional to 406,152,581.50 and 618,751,880.50

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Solution

The third proportional to 406,152,581.50 and 618,751,880.50 is: 942,635,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,152,581.50 : 618,751,880.50 = 618,751,880.50 : x
  2. Step 2: Convert to fraction form
    406,152,581.50/618,751,880.50 = 618,751,880.50/x
  3. Step 3: Cross multiply
    406,152,581.50x = 618,751,880.50 × 618,751,880.50
  4. Step 4: Simplify right side
    406,152,581.50x = 382,853,889,622,286,272
  5. Step 5: Solve for x
    x = 382,853,889,622,286,272/406,152,581.50
  6. Step 6: Final answer
    x = 942,635,617.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.