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Finding the Third Proportional to 53,298 and 78,219

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Solution

The third proportional to 53,298 and 78,219 is: 114,792.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,298 : 78,219 = 78,219 : x
  2. Step 2: Convert to fraction form
    53,298/78,219 = 78,219/x
  3. Step 3: Cross multiply
    53,298x = 78,219 × 78,219
  4. Step 4: Simplify right side
    53,298x = 6,118,211,961
  5. Step 5: Solve for x
    x = 6,118,211,961/53,298
  6. Step 6: Final answer
    x = 114,792.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.