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Finding the Third Proportional to 74,752 and 118,871

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Solution

The third proportional to 74,752 and 118,871 is: 189,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,752 : 118,871 = 118,871 : x
  2. Step 2: Convert to fraction form
    74,752/118,871 = 118,871/x
  3. Step 3: Cross multiply
    74,752x = 118,871 × 118,871
  4. Step 4: Simplify right side
    74,752x = 14,130,314,641
  5. Step 5: Solve for x
    x = 14,130,314,641/74,752
  6. Step 6: Final answer
    x = 189,029.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.