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Finding the Third Proportional to 209,124 and 314,158

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Solution

The third proportional to 209,124 and 314,158 is: 471,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,124 : 314,158 = 314,158 : x
  2. Step 2: Convert to fraction form
    209,124/314,158 = 314,158/x
  3. Step 3: Cross multiply
    209,124x = 314,158 × 314,158
  4. Step 4: Simplify right side
    209,124x = 98,695,248,964
  5. Step 5: Solve for x
    x = 98,695,248,964/209,124
  6. Step 6: Final answer
    x = 471,946.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.