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Finding the Third Proportional to 221,430 and 352,506

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Solution

The third proportional to 221,430 and 352,506 is: 561,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,430 : 352,506 = 352,506 : x
  2. Step 2: Convert to fraction form
    221,430/352,506 = 352,506/x
  3. Step 3: Cross multiply
    221,430x = 352,506 × 352,506
  4. Step 4: Simplify right side
    221,430x = 124,260,480,036
  5. Step 5: Solve for x
    x = 124,260,480,036/221,430
  6. Step 6: Final answer
    x = 561,172.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.