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Finding the Third Proportional to 148,710 and 311,959

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Solution

The third proportional to 148,710 and 311,959 is: 654,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,710 : 311,959 = 311,959 : x
  2. Step 2: Convert to fraction form
    148,710/311,959 = 311,959/x
  3. Step 3: Cross multiply
    148,710x = 311,959 × 311,959
  4. Step 4: Simplify right side
    148,710x = 97,318,417,681
  5. Step 5: Solve for x
    x = 97,318,417,681/148,710
  6. Step 6: Final answer
    x = 654,417.44

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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.