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Finding the Third Proportional to 205,621 and 314,263

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Solution

The third proportional to 205,621 and 314,263 is: 480,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,621 : 314,263 = 314,263 : x
  2. Step 2: Convert to fraction form
    205,621/314,263 = 314,263/x
  3. Step 3: Cross multiply
    205,621x = 314,263 × 314,263
  4. Step 4: Simplify right side
    205,621x = 98,761,233,169
  5. Step 5: Solve for x
    x = 98,761,233,169/205,621
  6. Step 6: Final answer
    x = 480,307.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.