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Finding the Third Proportional to 98,688 and 212,928

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Solution

The third proportional to 98,688 and 212,928 is: 459,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,688 : 212,928 = 212,928 : x
  2. Step 2: Convert to fraction form
    98,688/212,928 = 212,928/x
  3. Step 3: Cross multiply
    98,688x = 212,928 × 212,928
  4. Step 4: Simplify right side
    98,688x = 45,338,333,184
  5. Step 5: Solve for x
    x = 45,338,333,184/98,688
  6. Step 6: Final answer
    x = 459,410.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.