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Finding the Third Proportional to 300,911,640 and 415,791,526

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Solution

The third proportional to 300,911,640 and 415,791,526 is: 574,529,430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,911,640 : 415,791,526 = 415,791,526 : x
  2. Step 2: Convert to fraction form
    300,911,640/415,791,526 = 415,791,526/x
  3. Step 3: Cross multiply
    300,911,640x = 415,791,526 × 415,791,526
  4. Step 4: Simplify right side
    300,911,640x = 172,882,593,093,408,672
  5. Step 5: Solve for x
    x = 172,882,593,093,408,672/300,911,640
  6. Step 6: Final answer
    x = 574,529,430.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.