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Finding the Third Proportional to 157,070 and 243,477

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Solution

The third proportional to 157,070 and 243,477 is: 377,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,070 : 243,477 = 243,477 : x
  2. Step 2: Convert to fraction form
    157,070/243,477 = 243,477/x
  3. Step 3: Cross multiply
    157,070x = 243,477 × 243,477
  4. Step 4: Simplify right side
    157,070x = 59,281,049,529
  5. Step 5: Solve for x
    x = 59,281,049,529/157,070
  6. Step 6: Final answer
    x = 377,418.03

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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.