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Finding the Third Proportional to 321,724 and 473,220

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Solution

The third proportional to 321,724 and 473,220 is: 696,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,724 : 473,220 = 473,220 : x
  2. Step 2: Convert to fraction form
    321,724/473,220 = 473,220/x
  3. Step 3: Cross multiply
    321,724x = 473,220 × 473,220
  4. Step 4: Simplify right side
    321,724x = 223,937,168,400
  5. Step 5: Solve for x
    x = 223,937,168,400/321,724
  6. Step 6: Final answer
    x = 696,053.66

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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.