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Finding the Third Proportional to 201,390 and 470,355

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Solution

The third proportional to 201,390 and 470,355 is: 1,098,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,390 : 470,355 = 470,355 : x
  2. Step 2: Convert to fraction form
    201,390/470,355 = 470,355/x
  3. Step 3: Cross multiply
    201,390x = 470,355 × 470,355
  4. Step 4: Simplify right side
    201,390x = 221,233,826,025
  5. Step 5: Solve for x
    x = 221,233,826,025/201,390
  6. Step 6: Final answer
    x = 1,098,534.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.