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Finding the Third Proportional to 721,430 and 1,567,276

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Solution

The third proportional to 721,430 and 1,567,276 is: 3,404,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,430 : 1,567,276 = 1,567,276 : x
  2. Step 2: Convert to fraction form
    721,430/1,567,276 = 1,567,276/x
  3. Step 3: Cross multiply
    721,430x = 1,567,276 × 1,567,276
  4. Step 4: Simplify right side
    721,430x = 2,456,354,060,176
  5. Step 5: Solve for x
    x = 2,456,354,060,176/721,430
  6. Step 6: Final answer
    x = 3,404,840.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.