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Finding the Third Proportional to 109,152 and 229,312

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Solution

The third proportional to 109,152 and 229,312 is: 481,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,152 : 229,312 = 229,312 : x
  2. Step 2: Convert to fraction form
    109,152/229,312 = 229,312/x
  3. Step 3: Cross multiply
    109,152x = 229,312 × 229,312
  4. Step 4: Simplify right side
    109,152x = 52,583,993,344
  5. Step 5: Solve for x
    x = 52,583,993,344/109,152
  6. Step 6: Final answer
    x = 481,750.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.