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Finding the Third Proportional to 420,390 and 922,536

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Solution

The third proportional to 420,390 and 922,536 is: 2,024,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,390 : 922,536 = 922,536 : x
  2. Step 2: Convert to fraction form
    420,390/922,536 = 922,536/x
  3. Step 3: Cross multiply
    420,390x = 922,536 × 922,536
  4. Step 4: Simplify right side
    420,390x = 851,072,671,296
  5. Step 5: Solve for x
    x = 851,072,671,296/420,390
  6. Step 6: Final answer
    x = 2,024,483.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.