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Finding the Third Proportional to 184,146 and 278,709

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Solution

The third proportional to 184,146 and 278,709 is: 421,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,146 : 278,709 = 278,709 : x
  2. Step 2: Convert to fraction form
    184,146/278,709 = 278,709/x
  3. Step 3: Cross multiply
    184,146x = 278,709 × 278,709
  4. Step 4: Simplify right side
    184,146x = 77,678,706,681
  5. Step 5: Solve for x
    x = 77,678,706,681/184,146
  6. Step 6: Final answer
    x = 421,832.17

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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.