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Finding the Third Proportional to 67,318,290 and 145,265,400

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Solution

The third proportional to 67,318,290 and 145,265,400 is: 313,466,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,318,290 : 145,265,400 = 145,265,400 : x
  2. Step 2: Convert to fraction form
    67,318,290/145,265,400 = 145,265,400/x
  3. Step 3: Cross multiply
    67,318,290x = 145,265,400 × 145,265,400
  4. Step 4: Simplify right side
    67,318,290x = 21,102,036,437,160,000
  5. Step 5: Solve for x
    x = 21,102,036,437,160,000/67,318,290
  6. Step 6: Final answer
    x = 313,466,614.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.