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Finding the Third Proportional to 357,252 and 492,129

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Solution

The third proportional to 357,252 and 492,129 is: 677,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,252 : 492,129 = 492,129 : x
  2. Step 2: Convert to fraction form
    357,252/492,129 = 492,129/x
  3. Step 3: Cross multiply
    357,252x = 492,129 × 492,129
  4. Step 4: Simplify right side
    357,252x = 242,190,952,641
  5. Step 5: Solve for x
    x = 242,190,952,641/357,252
  6. Step 6: Final answer
    x = 677,927.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.