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Finding the Third Proportional to 647,460 and 980,220

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Solution

The third proportional to 647,460 and 980,220 is: 1,484,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,460 : 980,220 = 980,220 : x
  2. Step 2: Convert to fraction form
    647,460/980,220 = 980,220/x
  3. Step 3: Cross multiply
    647,460x = 980,220 × 980,220
  4. Step 4: Simplify right side
    647,460x = 960,831,248,400
  5. Step 5: Solve for x
    x = 960,831,248,400/647,460
  6. Step 6: Final answer
    x = 1,484,000.94

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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.