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Finding the Third Proportional to 215,585,732 and 331,374,270

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Solution

The third proportional to 215,585,732 and 331,374,270 is: 509,351,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,585,732 : 331,374,270 = 331,374,270 : x
  2. Step 2: Convert to fraction form
    215,585,732/331,374,270 = 331,374,270/x
  3. Step 3: Cross multiply
    215,585,732x = 331,374,270 × 331,374,270
  4. Step 4: Simplify right side
    215,585,732x = 109,808,906,818,032,896
  5. Step 5: Solve for x
    x = 109,808,906,818,032,896/215,585,732
  6. Step 6: Final answer
    x = 509,351,457.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.