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Finding the Third Proportional to 210,021.75 and 330,341.06

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Solution

The third proportional to 210,021.75 and 330,341.06 is: 519,590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,021.75 : 330,341.06 = 330,341.06 : x
  2. Step 2: Convert to fraction form
    210,021.75/330,341.06 = 330,341.06/x
  3. Step 3: Cross multiply
    210,021.75x = 330,341.06 × 330,341.06
  4. Step 4: Simplify right side
    210,021.75x = 109,125,217,573.63
  5. Step 5: Solve for x
    x = 109,125,217,573.63/210,021.75
  6. Step 6: Final answer
    x = 519,590.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.