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Finding the Third Proportional to 148,490 and 311,560

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Solution

The third proportional to 148,490 and 311,560 is: 653,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,490 : 311,560 = 311,560 : x
  2. Step 2: Convert to fraction form
    148,490/311,560 = 311,560/x
  3. Step 3: Cross multiply
    148,490x = 311,560 × 311,560
  4. Step 4: Simplify right side
    148,490x = 97,069,633,600
  5. Step 5: Solve for x
    x = 97,069,633,600/148,490
  6. Step 6: Final answer
    x = 653,711.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.