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Finding the Third Proportional to 157,518 and 341,280

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Solution

The third proportional to 157,518 and 341,280 is: 739,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,518 : 341,280 = 341,280 : x
  2. Step 2: Convert to fraction form
    157,518/341,280 = 341,280/x
  3. Step 3: Cross multiply
    157,518x = 341,280 × 341,280
  4. Step 4: Simplify right side
    157,518x = 116,472,038,400
  5. Step 5: Solve for x
    x = 116,472,038,400/157,518
  6. Step 6: Final answer
    x = 739,420.50

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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.