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Finding the Third Proportional to 321,616 and 472,787

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Solution

The third proportional to 321,616 and 472,787 is: 695,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,616 : 472,787 = 472,787 : x
  2. Step 2: Convert to fraction form
    321,616/472,787 = 472,787/x
  3. Step 3: Cross multiply
    321,616x = 472,787 × 472,787
  4. Step 4: Simplify right side
    321,616x = 223,527,547,369
  5. Step 5: Solve for x
    x = 223,527,547,369/321,616
  6. Step 6: Final answer
    x = 695,013.77

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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.