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Finding the Third Proportional to 210,261 and 314,520

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Solution

The third proportional to 210,261 and 314,520 is: 470,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,261 : 314,520 = 314,520 : x
  2. Step 2: Convert to fraction form
    210,261/314,520 = 314,520/x
  3. Step 3: Cross multiply
    210,261x = 314,520 × 314,520
  4. Step 4: Simplify right side
    210,261x = 98,922,830,400
  5. Step 5: Solve for x
    x = 98,922,830,400/210,261
  6. Step 6: Final answer
    x = 470,476.36

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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.