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Finding the Third Proportional to 305,536.50 and 657,666.50

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Solution

The third proportional to 305,536.50 and 657,666.50 is: 1,415,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,536.50 : 657,666.50 = 657,666.50 : x
  2. Step 2: Convert to fraction form
    305,536.50/657,666.50 = 657,666.50/x
  3. Step 3: Cross multiply
    305,536.50x = 657,666.50 × 657,666.50
  4. Step 4: Simplify right side
    305,536.50x = 432,525,225,222.25
  5. Step 5: Solve for x
    x = 432,525,225,222.25/305,536.50
  6. Step 6: Final answer
    x = 1,415,625.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.