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Finding the Third Proportional to 427,907.81 and 662,228.16

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Solution

The third proportional to 427,907.81 and 662,228.16 is: 1,024,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,907.81 : 662,228.16 = 662,228.16 : x
  2. Step 2: Convert to fraction form
    427,907.81/662,228.16 = 662,228.16/x
  3. Step 3: Cross multiply
    427,907.81x = 662,228.16 × 662,228.16
  4. Step 4: Simplify right side
    427,907.81x = 438,546,130,930.27
  5. Step 5: Solve for x
    x = 438,546,130,930.27/427,907.81
  6. Step 6: Final answer
    x = 1,024,861.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.