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Finding the Third Proportional to 357,246 and 492,120

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Solution

The third proportional to 357,246 and 492,120 is: 677,914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,246 : 492,120 = 492,120 : x
  2. Step 2: Convert to fraction form
    357,246/492,120 = 492,120/x
  3. Step 3: Cross multiply
    357,246x = 492,120 × 492,120
  4. Step 4: Simplify right side
    357,246x = 242,182,094,400
  5. Step 5: Solve for x
    x = 242,182,094,400/357,246
  6. Step 6: Final answer
    x = 677,914.08

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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.