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Finding the Third Proportional to 427,254.75 and 664,210.13

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Solution

The third proportional to 427,254.75 and 664,210.13 is: 1,032,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,254.75 : 664,210.13 = 664,210.13 : x
  2. Step 2: Convert to fraction form
    427,254.75/664,210.13 = 664,210.13/x
  3. Step 3: Cross multiply
    427,254.75x = 664,210.13 × 664,210.13
  4. Step 4: Simplify right side
    427,254.75x = 441,175,090,152.52
  5. Step 5: Solve for x
    x = 441,175,090,152.52/427,254.75
  6. Step 6: Final answer
    x = 1,032,580.89

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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.