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Finding the Third Proportional to 153,804 and 240,786

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Solution

The third proportional to 153,804 and 240,786 is: 376,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,804 : 240,786 = 240,786 : x
  2. Step 2: Convert to fraction form
    153,804/240,786 = 240,786/x
  3. Step 3: Cross multiply
    153,804x = 240,786 × 240,786
  4. Step 4: Simplify right side
    153,804x = 57,977,897,796
  5. Step 5: Solve for x
    x = 57,977,897,796/153,804
  6. Step 6: Final answer
    x = 376,959.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.