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Finding the Third Proportional to 306,661.50 and 716,307

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Solution

The third proportional to 306,661.50 and 716,307 is: 1,673,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,661.50 : 716,307 = 716,307 : x
  2. Step 2: Convert to fraction form
    306,661.50/716,307 = 716,307/x
  3. Step 3: Cross multiply
    306,661.50x = 716,307 × 716,307
  4. Step 4: Simplify right side
    306,661.50x = 513,095,718,249
  5. Step 5: Solve for x
    x = 513,095,718,249/306,661.50
  6. Step 6: Final answer
    x = 1,673,166.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.