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Finding the Third Proportional to 321,643.41 and 473,109.61

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Solution

The third proportional to 321,643.41 and 473,109.61 is: 695,903.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,643.41 : 473,109.61 = 473,109.61 : x
  2. Step 2: Convert to fraction form
    321,643.41/473,109.61 = 473,109.61/x
  3. Step 3: Cross multiply
    321,643.41x = 473,109.61 × 473,109.61
  4. Step 4: Simplify right side
    321,643.41x = 223,832,702,482.97
  5. Step 5: Solve for x
    x = 223,832,702,482.97/321,643.41
  6. Step 6: Final answer
    x = 695,903.28

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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.