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Finding the Third Proportional to 72,531 and 157,158

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Solution

The third proportional to 72,531 and 157,158 is: 340,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,531 : 157,158 = 157,158 : x
  2. Step 2: Convert to fraction form
    72,531/157,158 = 157,158/x
  3. Step 3: Cross multiply
    72,531x = 157,158 × 157,158
  4. Step 4: Simplify right side
    72,531x = 24,698,636,964
  5. Step 5: Solve for x
    x = 24,698,636,964/72,531
  6. Step 6: Final answer
    x = 340,525.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.