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Finding the Third Proportional to 1,497,483,480 and 3,202,689,642

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Solution

The third proportional to 1,497,483,480 and 3,202,689,642 is: 6,849,638,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,483,480 : 3,202,689,642 = 3,202,689,642 : x
  2. Step 2: Convert to fraction form
    1,497,483,480/3,202,689,642 = 3,202,689,642/x
  3. Step 3: Cross multiply
    1,497,483,480x = 3,202,689,642 × 3,202,689,642
  4. Step 4: Simplify right side
    1,497,483,480x = 10,257,220,942,974,087,168
  5. Step 5: Solve for x
    x = 10,257,220,942,974,087,168/1,497,483,480
  6. Step 6: Final answer
    x = 6,849,638,797.33

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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.