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Finding the Third Proportional to 306,720 and 473,760

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Solution

The third proportional to 306,720 and 473,760 is: 731,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,720 : 473,760 = 473,760 : x
  2. Step 2: Convert to fraction form
    306,720/473,760 = 473,760/x
  3. Step 3: Cross multiply
    306,720x = 473,760 × 473,760
  4. Step 4: Simplify right side
    306,720x = 224,448,537,600
  5. Step 5: Solve for x
    x = 224,448,537,600/306,720
  6. Step 6: Final answer
    x = 731,770.14

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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.