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Finding the Third Proportional to 2,130,720 and 4,577,664

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Solution

The third proportional to 2,130,720 and 4,577,664 is: 9,834,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,720 : 4,577,664 = 4,577,664 : x
  2. Step 2: Convert to fraction form
    2,130,720/4,577,664 = 4,577,664/x
  3. Step 3: Cross multiply
    2,130,720x = 4,577,664 × 4,577,664
  4. Step 4: Simplify right side
    2,130,720x = 20,955,007,696,896
  5. Step 5: Solve for x
    x = 20,955,007,696,896/2,130,720
  6. Step 6: Final answer
    x = 9,834,707.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.