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Finding the Third Proportional to 413,133.75 and 875,866.50

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Solution

The third proportional to 413,133.75 and 875,866.50 is: 1,856,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,133.75 : 875,866.50 = 875,866.50 : x
  2. Step 2: Convert to fraction form
    413,133.75/875,866.50 = 875,866.50/x
  3. Step 3: Cross multiply
    413,133.75x = 875,866.50 × 875,866.50
  4. Step 4: Simplify right side
    413,133.75x = 767,142,125,822.25
  5. Step 5: Solve for x
    x = 767,142,125,822.25/413,133.75
  6. Step 6: Final answer
    x = 1,856,885.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.