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Finding the Third Proportional to 418,379,478.75 and 912,090,827.25

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Solution

The third proportional to 418,379,478.75 and 912,090,827.25 is: 1,988,409,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,379,478.75 : 912,090,827.25 = 912,090,827.25 : x
  2. Step 2: Convert to fraction form
    418,379,478.75/912,090,827.25 = 912,090,827.25/x
  3. Step 3: Cross multiply
    418,379,478.75x = 912,090,827.25 × 912,090,827.25
  4. Step 4: Simplify right side
    418,379,478.75x = 831,909,677,153,589,376
  5. Step 5: Solve for x
    x = 831,909,677,153,589,376/418,379,478.75
  6. Step 6: Final answer
    x = 1,988,409,373.33

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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.