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Finding the Third Proportional to 215,466,915 and 334,315,800

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Solution

The third proportional to 215,466,915 and 334,315,800 is: 518,720,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,466,915 : 334,315,800 = 334,315,800 : x
  2. Step 2: Convert to fraction form
    215,466,915/334,315,800 = 334,315,800/x
  3. Step 3: Cross multiply
    215,466,915x = 334,315,800 × 334,315,800
  4. Step 4: Simplify right side
    215,466,915x = 111,767,054,129,640,000
  5. Step 5: Solve for x
    x = 111,767,054,129,640,000/215,466,915
  6. Step 6: Final answer
    x = 518,720,259.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.