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Finding the Third Proportional to 305,210 and 473,151

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Solution

The third proportional to 305,210 and 473,151 is: 733,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,210 : 473,151 = 473,151 : x
  2. Step 2: Convert to fraction form
    305,210/473,151 = 473,151/x
  3. Step 3: Cross multiply
    305,210x = 473,151 × 473,151
  4. Step 4: Simplify right side
    305,210x = 223,871,868,801
  5. Step 5: Solve for x
    x = 223,871,868,801/305,210
  6. Step 6: Final answer
    x = 733,501.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.