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Finding the Third Proportional to 421,303 and 901,656

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Solution

The third proportional to 421,303 and 901,656 is: 1,929,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,303 : 901,656 = 901,656 : x
  2. Step 2: Convert to fraction form
    421,303/901,656 = 901,656/x
  3. Step 3: Cross multiply
    421,303x = 901,656 × 901,656
  4. Step 4: Simplify right side
    421,303x = 812,983,542,336
  5. Step 5: Solve for x
    x = 812,983,542,336/421,303
  6. Step 6: Final answer
    x = 1,929,688.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.