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Finding the Third Proportional to 457,236 and 705,220.50

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Solution

The third proportional to 457,236 and 705,220.50 is: 1,087,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,236 : 705,220.50 = 705,220.50 : x
  2. Step 2: Convert to fraction form
    457,236/705,220.50 = 705,220.50/x
  3. Step 3: Cross multiply
    457,236x = 705,220.50 × 705,220.50
  4. Step 4: Simplify right side
    457,236x = 497,335,953,620.25
  5. Step 5: Solve for x
    x = 497,335,953,620.25/457,236
  6. Step 6: Final answer
    x = 1,087,700.78

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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.