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Finding the Third Proportional to 421,342 and 901,730

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Solution

The third proportional to 421,342 and 901,730 is: 1,929,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,342 : 901,730 = 901,730 : x
  2. Step 2: Convert to fraction form
    421,342/901,730 = 901,730/x
  3. Step 3: Cross multiply
    421,342x = 901,730 × 901,730
  4. Step 4: Simplify right side
    421,342x = 813,116,992,900
  5. Step 5: Solve for x
    x = 813,116,992,900/421,342
  6. Step 6: Final answer
    x = 1,929,826.58

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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.