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Finding the Third Proportional to 74,681 and 118,310

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Solution

The third proportional to 74,681 and 118,310 is: 187,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,681 : 118,310 = 118,310 : x
  2. Step 2: Convert to fraction form
    74,681/118,310 = 118,310/x
  3. Step 3: Cross multiply
    74,681x = 118,310 × 118,310
  4. Step 4: Simplify right side
    74,681x = 13,997,256,100
  5. Step 5: Solve for x
    x = 13,997,256,100/74,681
  6. Step 6: Final answer
    x = 187,427.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.