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Finding the Third Proportional to 306,928 and 473,513

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Solution

The third proportional to 306,928 and 473,513 is: 730,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,928 : 473,513 = 473,513 : x
  2. Step 2: Convert to fraction form
    306,928/473,513 = 473,513/x
  3. Step 3: Cross multiply
    306,928x = 473,513 × 473,513
  4. Step 4: Simplify right side
    306,928x = 224,214,561,169
  5. Step 5: Solve for x
    x = 224,214,561,169/306,928
  6. Step 6: Final answer
    x = 730,511.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.