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Finding the Third Proportional to 74,459.25 and 145,157.06

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Solution

The third proportional to 74,459.25 and 145,157.06 is: 282,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,459.25 : 145,157.06 = 145,157.06 : x
  2. Step 2: Convert to fraction form
    74,459.25/145,157.06 = 145,157.06/x
  3. Step 3: Cross multiply
    74,459.25x = 145,157.06 × 145,157.06
  4. Step 4: Simplify right side
    74,459.25x = 21,070,572,793.63
  5. Step 5: Solve for x
    x = 21,070,572,793.63/74,459.25
  6. Step 6: Final answer
    x = 282,981.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.