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Finding the Third Proportional to 426,584 and 644,410

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Solution

The third proportional to 426,584 and 644,410 is: 973,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,584 : 644,410 = 644,410 : x
  2. Step 2: Convert to fraction form
    426,584/644,410 = 644,410/x
  3. Step 3: Cross multiply
    426,584x = 644,410 × 644,410
  4. Step 4: Simplify right side
    426,584x = 415,264,248,100
  5. Step 5: Solve for x
    x = 415,264,248,100/426,584
  6. Step 6: Final answer
    x = 973,464.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.