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Finding the Third Proportional to 153,878 and 240,537

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Solution

The third proportional to 153,878 and 240,537 is: 375,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,878 : 240,537 = 240,537 : x
  2. Step 2: Convert to fraction form
    153,878/240,537 = 240,537/x
  3. Step 3: Cross multiply
    153,878x = 240,537 × 240,537
  4. Step 4: Simplify right side
    153,878x = 57,858,048,369
  5. Step 5: Solve for x
    x = 57,858,048,369/153,878
  6. Step 6: Final answer
    x = 375,999.48

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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.