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Finding the Third Proportional to 418,379,442.75 and 912,090,728.25

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Solution

The third proportional to 418,379,442.75 and 912,090,728.25 is: 1,988,409,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,379,442.75 : 912,090,728.25 = 912,090,728.25 : x
  2. Step 2: Convert to fraction form
    418,379,442.75/912,090,728.25 = 912,090,728.25/x
  3. Step 3: Cross multiply
    418,379,442.75x = 912,090,728.25 × 912,090,728.25
  4. Step 4: Simplify right side
    418,379,442.75x = 831,909,496,559,615,360
  5. Step 5: Solve for x
    x = 831,909,496,559,615,360/418,379,442.75
  6. Step 6: Final answer
    x = 1,988,409,112.77

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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.