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Finding the Third Proportional to 74,157.47 and 153,572.20

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Solution

The third proportional to 74,157.47 and 153,572.20 is: 318,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,157.47 : 153,572.20 = 153,572.20 : x
  2. Step 2: Convert to fraction form
    74,157.47/153,572.20 = 153,572.20/x
  3. Step 3: Cross multiply
    74,157.47x = 153,572.20 × 153,572.20
  4. Step 4: Simplify right side
    74,157.47x = 23,584,421,572.67
  5. Step 5: Solve for x
    x = 23,584,421,572.67/74,157.47
  6. Step 6: Final answer
    x = 318,031.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.