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Finding the Third Proportional to 289,051 and 314,829

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Solution

The third proportional to 289,051 and 314,829 is: 342,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,051 : 314,829 = 314,829 : x
  2. Step 2: Convert to fraction form
    289,051/314,829 = 314,829/x
  3. Step 3: Cross multiply
    289,051x = 314,829 × 314,829
  4. Step 4: Simplify right side
    289,051x = 99,117,299,241
  5. Step 5: Solve for x
    x = 99,117,299,241/289,051
  6. Step 6: Final answer
    x = 342,905.92

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.