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Finding the Third Proportional to 209,097 and 316,237.50

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Solution

The third proportional to 209,097 and 316,237.50 is: 478,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,097 : 316,237.50 = 316,237.50 : x
  2. Step 2: Convert to fraction form
    209,097/316,237.50 = 316,237.50/x
  3. Step 3: Cross multiply
    209,097x = 316,237.50 × 316,237.50
  4. Step 4: Simplify right side
    209,097x = 100,006,156,406.25
  5. Step 5: Solve for x
    x = 100,006,156,406.25/209,097
  6. Step 6: Final answer
    x = 478,276.38

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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.