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Finding the Third Proportional to 147,010 and 322,040

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Solution

The third proportional to 147,010 and 322,040 is: 705,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,010 : 322,040 = 322,040 : x
  2. Step 2: Convert to fraction form
    147,010/322,040 = 322,040/x
  3. Step 3: Cross multiply
    147,010x = 322,040 × 322,040
  4. Step 4: Simplify right side
    147,010x = 103,709,761,600
  5. Step 5: Solve for x
    x = 103,709,761,600/147,010
  6. Step 6: Final answer
    x = 705,460.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.