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Finding the Third Proportional to 98,390 and 213,088

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Solution

The third proportional to 98,390 and 213,088 is: 461,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,390 : 213,088 = 213,088 : x
  2. Step 2: Convert to fraction form
    98,390/213,088 = 213,088/x
  3. Step 3: Cross multiply
    98,390x = 213,088 × 213,088
  4. Step 4: Simplify right side
    98,390x = 45,406,495,744
  5. Step 5: Solve for x
    x = 45,406,495,744/98,390
  6. Step 6: Final answer
    x = 461,495.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.