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Finding the Third Proportional to 137,448 and 289,656

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Solution

The third proportional to 137,448 and 289,656 is: 610,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,448 : 289,656 = 289,656 : x
  2. Step 2: Convert to fraction form
    137,448/289,656 = 289,656/x
  3. Step 3: Cross multiply
    137,448x = 289,656 × 289,656
  4. Step 4: Simplify right side
    137,448x = 83,900,598,336
  5. Step 5: Solve for x
    x = 83,900,598,336/137,448
  6. Step 6: Final answer
    x = 610,417.02

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.