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Finding the Third Proportional to 210,129 and 314,448

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Solution

The third proportional to 210,129 and 314,448 is: 470,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,129 : 314,448 = 314,448 : x
  2. Step 2: Convert to fraction form
    210,129/314,448 = 314,448/x
  3. Step 3: Cross multiply
    210,129x = 314,448 × 314,448
  4. Step 4: Simplify right side
    210,129x = 98,877,544,704
  5. Step 5: Solve for x
    x = 98,877,544,704/210,129
  6. Step 6: Final answer
    x = 470,556.39

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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.