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Finding the Third Proportional to 210,348 and 456,187

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Solution

The third proportional to 210,348 and 456,187 is: 989,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,348 : 456,187 = 456,187 : x
  2. Step 2: Convert to fraction form
    210,348/456,187 = 456,187/x
  3. Step 3: Cross multiply
    210,348x = 456,187 × 456,187
  4. Step 4: Simplify right side
    210,348x = 208,106,578,969
  5. Step 5: Solve for x
    x = 208,106,578,969/210,348
  6. Step 6: Final answer
    x = 989,344.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.