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Finding the Third Proportional to 144,194 and 212,547

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Solution

The third proportional to 144,194 and 212,547 is: 313,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,194 : 212,547 = 212,547 : x
  2. Step 2: Convert to fraction form
    144,194/212,547 = 212,547/x
  3. Step 3: Cross multiply
    144,194x = 212,547 × 212,547
  4. Step 4: Simplify right side
    144,194x = 45,176,227,209
  5. Step 5: Solve for x
    x = 45,176,227,209/144,194
  6. Step 6: Final answer
    x = 313,301.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.