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Finding the Third Proportional to 211,509 and 433,334

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Solution

The third proportional to 211,509 and 433,334 is: 887,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,509 : 433,334 = 433,334 : x
  2. Step 2: Convert to fraction form
    211,509/433,334 = 433,334/x
  3. Step 3: Cross multiply
    211,509x = 433,334 × 433,334
  4. Step 4: Simplify right side
    211,509x = 187,778,355,556
  5. Step 5: Solve for x
    x = 187,778,355,556/211,509
  6. Step 6: Final answer
    x = 887,803.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.