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Finding the Third Proportional to 225,628 and 338,490

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Solution

The third proportional to 225,628 and 338,490 is: 507,807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,628 : 338,490 = 338,490 : x
  2. Step 2: Convert to fraction form
    225,628/338,490 = 338,490/x
  3. Step 3: Cross multiply
    225,628x = 338,490 × 338,490
  4. Step 4: Simplify right side
    225,628x = 114,575,480,100
  5. Step 5: Solve for x
    x = 114,575,480,100/225,628
  6. Step 6: Final answer
    x = 507,807.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.