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Finding the Third Proportional to 456,421 and 973,905

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Solution

The third proportional to 456,421 and 973,905 is: 2,078,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,421 : 973,905 = 973,905 : x
  2. Step 2: Convert to fraction form
    456,421/973,905 = 973,905/x
  3. Step 3: Cross multiply
    456,421x = 973,905 × 973,905
  4. Step 4: Simplify right side
    456,421x = 948,490,949,025
  5. Step 5: Solve for x
    x = 948,490,949,025/456,421
  6. Step 6: Final answer
    x = 2,078,105.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.