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Finding the Third Proportional to 221,421 and 485,398.50

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Solution

The third proportional to 221,421 and 485,398.50 is: 1,064,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,421 : 485,398.50 = 485,398.50 : x
  2. Step 2: Convert to fraction form
    221,421/485,398.50 = 485,398.50/x
  3. Step 3: Cross multiply
    221,421x = 485,398.50 × 485,398.50
  4. Step 4: Simplify right side
    221,421x = 235,611,703,802.25
  5. Step 5: Solve for x
    x = 235,611,703,802.25/221,421
  6. Step 6: Final answer
    x = 1,064,089.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.