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Finding the Third Proportional to 647,148 and 979,776

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Solution

The third proportional to 647,148 and 979,776 is: 1,483,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,148 : 979,776 = 979,776 : x
  2. Step 2: Convert to fraction form
    647,148/979,776 = 979,776/x
  3. Step 3: Cross multiply
    647,148x = 979,776 × 979,776
  4. Step 4: Simplify right side
    647,148x = 959,961,010,176
  5. Step 5: Solve for x
    x = 959,961,010,176/647,148
  6. Step 6: Final answer
    x = 1,483,371.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.