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Finding the Third Proportional to 305,420.06 and 651,401.44

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Solution

The third proportional to 305,420.06 and 651,401.44 is: 1,389,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,420.06 : 651,401.44 = 651,401.44 : x
  2. Step 2: Convert to fraction form
    305,420.06/651,401.44 = 651,401.44/x
  3. Step 3: Cross multiply
    305,420.06x = 651,401.44 × 651,401.44
  4. Step 4: Simplify right side
    305,420.06x = 424,323,832,777.07
  5. Step 5: Solve for x
    x = 424,323,832,777.07/305,420.06
  6. Step 6: Final answer
    x = 1,389,312.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.