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Finding the Third Proportional to 31,563,130.50 and 67,920,165

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Solution

The third proportional to 31,563,130.50 and 67,920,165 is: 146,156,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563,130.50 : 67,920,165 = 67,920,165 : x
  2. Step 2: Convert to fraction form
    31,563,130.50/67,920,165 = 67,920,165/x
  3. Step 3: Cross multiply
    31,563,130.50x = 67,920,165 × 67,920,165
  4. Step 4: Simplify right side
    31,563,130.50x = 4,613,148,813,627,225
  5. Step 5: Solve for x
    x = 4,613,148,813,627,225/31,563,130.50
  6. Step 6: Final answer
    x = 146,156,250.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.