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Finding the Third Proportional to 211,312 and 469,280

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Solution

The third proportional to 211,312 and 469,280 is: 1,042,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,312 : 469,280 = 469,280 : x
  2. Step 2: Convert to fraction form
    211,312/469,280 = 469,280/x
  3. Step 3: Cross multiply
    211,312x = 469,280 × 469,280
  4. Step 4: Simplify right side
    211,312x = 220,223,718,400
  5. Step 5: Solve for x
    x = 220,223,718,400/211,312
  6. Step 6: Final answer
    x = 1,042,173.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.