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Finding the Third Proportional to 98,613 and 212,985

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Solution

The third proportional to 98,613 and 212,985 is: 460,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,613 : 212,985 = 212,985 : x
  2. Step 2: Convert to fraction form
    98,613/212,985 = 212,985/x
  3. Step 3: Cross multiply
    98,613x = 212,985 × 212,985
  4. Step 4: Simplify right side
    98,613x = 45,362,610,225
  5. Step 5: Solve for x
    x = 45,362,610,225/98,613
  6. Step 6: Final answer
    x = 460,006.39

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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.