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Finding the Third Proportional to 2,210,432 and 4,820,480

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Solution

The third proportional to 2,210,432 and 4,820,480 is: 10,512,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,432 : 4,820,480 = 4,820,480 : x
  2. Step 2: Convert to fraction form
    2,210,432/4,820,480 = 4,820,480/x
  3. Step 3: Cross multiply
    2,210,432x = 4,820,480 × 4,820,480
  4. Step 4: Simplify right side
    2,210,432x = 23,237,027,430,400
  5. Step 5: Solve for x
    x = 23,237,027,430,400/2,210,432
  6. Step 6: Final answer
    x = 10,512,437.13

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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.