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Finding the Third Proportional to 427,477.50 and 912,163.50

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Solution

The third proportional to 427,477.50 and 912,163.50 is: 1,946,400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,477.50 : 912,163.50 = 912,163.50 : x
  2. Step 2: Convert to fraction form
    427,477.50/912,163.50 = 912,163.50/x
  3. Step 3: Cross multiply
    427,477.50x = 912,163.50 × 912,163.50
  4. Step 4: Simplify right side
    427,477.50x = 832,042,250,732.25
  5. Step 5: Solve for x
    x = 832,042,250,732.25/427,477.50
  6. Step 6: Final answer
    x = 1,946,400.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.