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Finding the Third Proportional to 1,989,747 and 4,263,348

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Solution

The third proportional to 1,989,747 and 4,263,348 is: 9,134,898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989,747 : 4,263,348 = 4,263,348 : x
  2. Step 2: Convert to fraction form
    1,989,747/4,263,348 = 4,263,348/x
  3. Step 3: Cross multiply
    1,989,747x = 4,263,348 × 4,263,348
  4. Step 4: Simplify right side
    1,989,747x = 18,176,136,169,104
  5. Step 5: Solve for x
    x = 18,176,136,169,104/1,989,747
  6. Step 6: Final answer
    x = 9,134,898.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.