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Finding the Third Proportional to 290,286,767,177 and 403,620,546,729

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Solution

The third proportional to 290,286,767,177 and 403,620,546,729 is: 561,202,108,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,286,767,177 : 403,620,546,729 = 403,620,546,729 : x
  2. Step 2: Convert to fraction form
    290,286,767,177/403,620,546,729 = 403,620,546,729/x
  3. Step 3: Cross multiply
    290,286,767,177x = 403,620,546,729 × 403,620,546,729
  4. Step 4: Simplify right side
    290,286,767,177x = 162,909,545,741,816,887,771,136
  5. Step 5: Solve for x
    x = 162,909,545,741,816,887,771,136/290,286,767,177
  6. Step 6: Final answer
    x = 561,202,108,267.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.