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Finding the Third Proportional to 213,260 and 456,040

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Solution

The third proportional to 213,260 and 456,040 is: 975,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,260 : 456,040 = 456,040 : x
  2. Step 2: Convert to fraction form
    213,260/456,040 = 456,040/x
  3. Step 3: Cross multiply
    213,260x = 456,040 × 456,040
  4. Step 4: Simplify right side
    213,260x = 207,972,481,600
  5. Step 5: Solve for x
    x = 207,972,481,600/213,260
  6. Step 6: Final answer
    x = 975,206.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.