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Finding the Third Proportional to 209,802.66 and 316,455.61

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Solution

The third proportional to 209,802.66 and 316,455.61 is: 477,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,802.66 : 316,455.61 = 316,455.61 : x
  2. Step 2: Convert to fraction form
    209,802.66/316,455.61 = 316,455.61/x
  3. Step 3: Cross multiply
    209,802.66x = 316,455.61 × 316,455.61
  4. Step 4: Simplify right side
    209,802.66x = 100,144,152,704.90
  5. Step 5: Solve for x
    x = 100,144,152,704.90/209,802.66
  6. Step 6: Final answer
    x = 477,325.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.