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Finding the Third Proportional to 453,440 and 986,368

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Solution

The third proportional to 453,440 and 986,368 is: 2,145,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,440 : 986,368 = 986,368 : x
  2. Step 2: Convert to fraction form
    453,440/986,368 = 986,368/x
  3. Step 3: Cross multiply
    453,440x = 986,368 × 986,368
  4. Step 4: Simplify right side
    453,440x = 972,921,831,424
  5. Step 5: Solve for x
    x = 972,921,831,424/453,440
  6. Step 6: Final answer
    x = 2,145,646.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.