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Finding the Third Proportional to 426,585 and 644,413

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Solution

The third proportional to 426,585 and 644,413 is: 973,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,585 : 644,413 = 644,413 : x
  2. Step 2: Convert to fraction form
    426,585/644,413 = 644,413/x
  3. Step 3: Cross multiply
    426,585x = 644,413 × 644,413
  4. Step 4: Simplify right side
    426,585x = 415,268,114,569
  5. Step 5: Solve for x
    x = 415,268,114,569/426,585
  6. Step 6: Final answer
    x = 973,470.97

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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.