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Finding the Third Proportional to 157,117 and 242,783

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Solution

The third proportional to 157,117 and 242,783 is: 375,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,117 : 242,783 = 242,783 : x
  2. Step 2: Convert to fraction form
    157,117/242,783 = 242,783/x
  3. Step 3: Cross multiply
    157,117x = 242,783 × 242,783
  4. Step 4: Simplify right side
    157,117x = 58,943,585,089
  5. Step 5: Solve for x
    x = 58,943,585,089/157,117
  6. Step 6: Final answer
    x = 375,157.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.