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Finding the Third Proportional to 403,476 and 565,458

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Solution

The third proportional to 403,476 and 565,458 is: 792,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,476 : 565,458 = 565,458 : x
  2. Step 2: Convert to fraction form
    403,476/565,458 = 565,458/x
  3. Step 3: Cross multiply
    403,476x = 565,458 × 565,458
  4. Step 4: Simplify right side
    403,476x = 319,742,749,764
  5. Step 5: Solve for x
    x = 319,742,749,764/403,476
  6. Step 6: Final answer
    x = 792,470.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.