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Finding the Third Proportional to 321,614 and 472,784

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Solution

The third proportional to 321,614 and 472,784 is: 695,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,614 : 472,784 = 472,784 : x
  2. Step 2: Convert to fraction form
    321,614/472,784 = 472,784/x
  3. Step 3: Cross multiply
    321,614x = 472,784 × 472,784
  4. Step 4: Simplify right side
    321,614x = 223,524,710,656
  5. Step 5: Solve for x
    x = 223,524,710,656/321,614
  6. Step 6: Final answer
    x = 695,009.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.