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Finding the Third Proportional to 427,801.50 and 559,629

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Solution

The third proportional to 427,801.50 and 559,629 is: 732,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,801.50 : 559,629 = 559,629 : x
  2. Step 2: Convert to fraction form
    427,801.50/559,629 = 559,629/x
  3. Step 3: Cross multiply
    427,801.50x = 559,629 × 559,629
  4. Step 4: Simplify right side
    427,801.50x = 313,184,617,641
  5. Step 5: Solve for x
    x = 313,184,617,641/427,801.50
  6. Step 6: Final answer
    x = 732,079.29

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.