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Finding the Third Proportional to 421,648 and 547,178

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Solution

The third proportional to 421,648 and 547,178 is: 710,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,648 : 547,178 = 547,178 : x
  2. Step 2: Convert to fraction form
    421,648/547,178 = 547,178/x
  3. Step 3: Cross multiply
    421,648x = 547,178 × 547,178
  4. Step 4: Simplify right side
    421,648x = 299,403,763,684
  5. Step 5: Solve for x
    x = 299,403,763,684/421,648
  6. Step 6: Final answer
    x = 710,079.89

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.