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Finding the Third Proportional to 210,180 and 314,502

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Solution

The third proportional to 210,180 and 314,502 is: 470,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,180 : 314,502 = 314,502 : x
  2. Step 2: Convert to fraction form
    210,180/314,502 = 314,502/x
  3. Step 3: Cross multiply
    210,180x = 314,502 × 314,502
  4. Step 4: Simplify right side
    210,180x = 98,911,508,004
  5. Step 5: Solve for x
    x = 98,911,508,004/210,180
  6. Step 6: Final answer
    x = 470,603.81

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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.