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Finding the Third Proportional to 8,458,576.50 and 12,690,457.50

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Solution

The third proportional to 8,458,576.50 and 12,690,457.50 is: 19,039,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,458,576.50 : 12,690,457.50 = 12,690,457.50 : x
  2. Step 2: Convert to fraction form
    8,458,576.50/12,690,457.50 = 12,690,457.50/x
  3. Step 3: Cross multiply
    8,458,576.50x = 12,690,457.50 × 12,690,457.50
  4. Step 4: Simplify right side
    8,458,576.50x = 161,047,711,559,306.25
  5. Step 5: Solve for x
    x = 161,047,711,559,306.25/8,458,576.50
  6. Step 6: Final answer
    x = 19,039,576.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.