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Finding the Third Proportional to 4,215,916.50 and 6,312,318

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Solution

The third proportional to 4,215,916.50 and 6,312,318 is: 9,451,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215,916.50 : 6,312,318 = 6,312,318 : x
  2. Step 2: Convert to fraction form
    4,215,916.50/6,312,318 = 6,312,318/x
  3. Step 3: Cross multiply
    4,215,916.50x = 6,312,318 × 6,312,318
  4. Step 4: Simplify right side
    4,215,916.50x = 39,845,358,533,124
  5. Step 5: Solve for x
    x = 39,845,358,533,124/4,215,916.50
  6. Step 6: Final answer
    x = 9,451,173.55

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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.