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Finding the Third Proportional to 421,070 and 647,222

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Solution

The third proportional to 421,070 and 647,222 is: 994,837.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,070 : 647,222 = 647,222 : x
  2. Step 2: Convert to fraction form
    421,070/647,222 = 647,222/x
  3. Step 3: Cross multiply
    421,070x = 647,222 × 647,222
  4. Step 4: Simplify right side
    421,070x = 418,896,317,284
  5. Step 5: Solve for x
    x = 418,896,317,284/421,070
  6. Step 6: Final answer
    x = 994,837.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.