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Finding the Third Proportional to 277,094 and 429,897

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Solution

The third proportional to 277,094 and 429,897 is: 666,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,094 : 429,897 = 429,897 : x
  2. Step 2: Convert to fraction form
    277,094/429,897 = 429,897/x
  3. Step 3: Cross multiply
    277,094x = 429,897 × 429,897
  4. Step 4: Simplify right side
    277,094x = 184,811,430,609
  5. Step 5: Solve for x
    x = 184,811,430,609/277,094
  6. Step 6: Final answer
    x = 666,962.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.