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Finding the Third Proportional to 196,470 and 429,718

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Solution

The third proportional to 196,470 and 429,718 is: 939,876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,470 : 429,718 = 429,718 : x
  2. Step 2: Convert to fraction form
    196,470/429,718 = 429,718/x
  3. Step 3: Cross multiply
    196,470x = 429,718 × 429,718
  4. Step 4: Simplify right side
    196,470x = 184,657,559,524
  5. Step 5: Solve for x
    x = 184,657,559,524/196,470
  6. Step 6: Final answer
    x = 939,876.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.