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Finding the Third Proportional to 409,617 and 598,837.50

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Solution

The third proportional to 409,617 and 598,837.50 is: 875,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,617 : 598,837.50 = 598,837.50 : x
  2. Step 2: Convert to fraction form
    409,617/598,837.50 = 598,837.50/x
  3. Step 3: Cross multiply
    409,617x = 598,837.50 × 598,837.50
  4. Step 4: Simplify right side
    409,617x = 358,606,351,406.25
  5. Step 5: Solve for x
    x = 358,606,351,406.25/409,617
  6. Step 6: Final answer
    x = 875,467.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.