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Finding the Third Proportional to 155,193,894 and 215,784,729

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Solution

The third proportional to 155,193,894 and 215,784,729 is: 300,031,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,193,894 : 215,784,729 = 215,784,729 : x
  2. Step 2: Convert to fraction form
    155,193,894/215,784,729 = 215,784,729/x
  3. Step 3: Cross multiply
    155,193,894x = 215,784,729 × 215,784,729
  4. Step 4: Simplify right side
    155,193,894x = 46,563,049,269,603,440
  5. Step 5: Solve for x
    x = 46,563,049,269,603,440/155,193,894
  6. Step 6: Final answer
    x = 300,031,451.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.