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Finding the Third Proportional to 312,427 and 473,023

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Solution

The third proportional to 312,427 and 473,023 is: 716,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,427 : 473,023 = 473,023 : x
  2. Step 2: Convert to fraction form
    312,427/473,023 = 473,023/x
  3. Step 3: Cross multiply
    312,427x = 473,023 × 473,023
  4. Step 4: Simplify right side
    312,427x = 223,750,758,529
  5. Step 5: Solve for x
    x = 223,750,758,529/312,427
  6. Step 6: Final answer
    x = 716,169.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.