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Finding the Third Proportional to 45,312 and 98,409

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Solution

The third proportional to 45,312 and 98,409 is: 213,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312 : 98,409 = 98,409 : x
  2. Step 2: Convert to fraction form
    45,312/98,409 = 98,409/x
  3. Step 3: Cross multiply
    45,312x = 98,409 × 98,409
  4. Step 4: Simplify right side
    45,312x = 9,684,331,281
  5. Step 5: Solve for x
    x = 9,684,331,281/45,312
  6. Step 6: Final answer
    x = 213,725.53

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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.