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Finding the Third Proportional to 321,570 and 473,040

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Solution

The third proportional to 321,570 and 473,040 is: 695,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,570 : 473,040 = 473,040 : x
  2. Step 2: Convert to fraction form
    321,570/473,040 = 473,040/x
  3. Step 3: Cross multiply
    321,570x = 473,040 × 473,040
  4. Step 4: Simplify right side
    321,570x = 223,766,841,600
  5. Step 5: Solve for x
    x = 223,766,841,600/321,570
  6. Step 6: Final answer
    x = 695,857.33

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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.