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Finding the Third Proportional to 221,421 and 341,952

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Solution

The third proportional to 221,421 and 341,952 is: 528,094.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,421 : 341,952 = 341,952 : x
  2. Step 2: Convert to fraction form
    221,421/341,952 = 341,952/x
  3. Step 3: Cross multiply
    221,421x = 341,952 × 341,952
  4. Step 4: Simplify right side
    221,421x = 116,931,170,304
  5. Step 5: Solve for x
    x = 116,931,170,304/221,421
  6. Step 6: Final answer
    x = 528,094.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.