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Finding the Third Proportional to 321,684 and 473,160

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Solution

The third proportional to 321,684 and 473,160 is: 695,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,684 : 473,160 = 473,160 : x
  2. Step 2: Convert to fraction form
    321,684/473,160 = 473,160/x
  3. Step 3: Cross multiply
    321,684x = 473,160 × 473,160
  4. Step 4: Simplify right side
    321,684x = 223,880,385,600
  5. Step 5: Solve for x
    x = 223,880,385,600/321,684
  6. Step 6: Final answer
    x = 695,963.70

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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.