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Finding the Third Proportional to 209,713 and 456,289

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Solution

The third proportional to 209,713 and 456,289 is: 992,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,713 : 456,289 = 456,289 : x
  2. Step 2: Convert to fraction form
    209,713/456,289 = 456,289/x
  3. Step 3: Cross multiply
    209,713x = 456,289 × 456,289
  4. Step 4: Simplify right side
    209,713x = 208,199,651,521
  5. Step 5: Solve for x
    x = 208,199,651,521/209,713
  6. Step 6: Final answer
    x = 992,783.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.