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Finding the Third Proportional to 457,221 and 685,807.50

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Solution

The third proportional to 457,221 and 685,807.50 is: 1,028,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,221 : 685,807.50 = 685,807.50 : x
  2. Step 2: Convert to fraction form
    457,221/685,807.50 = 685,807.50/x
  3. Step 3: Cross multiply
    457,221x = 685,807.50 × 685,807.50
  4. Step 4: Simplify right side
    457,221x = 470,331,927,056.25
  5. Step 5: Solve for x
    x = 470,331,927,056.25/457,221
  6. Step 6: Final answer
    x = 1,028,675.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.