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Finding the Third Proportional to 660,018 and 1,029,447

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Solution

The third proportional to 660,018 and 1,029,447 is: 1,605,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,018 : 1,029,447 = 1,029,447 : x
  2. Step 2: Convert to fraction form
    660,018/1,029,447 = 1,029,447/x
  3. Step 3: Cross multiply
    660,018x = 1,029,447 × 1,029,447
  4. Step 4: Simplify right side
    660,018x = 1,059,761,125,809
  5. Step 5: Solve for x
    x = 1,059,761,125,809/660,018
  6. Step 6: Final answer
    x = 1,605,654.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.