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Finding the Third Proportional to 402,575.06 and 877,491.98

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Solution

The third proportional to 402,575.06 and 877,491.98 is: 1,912,667.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,575.06 : 877,491.98 = 877,491.98 : x
  2. Step 2: Convert to fraction form
    402,575.06/877,491.98 = 877,491.98/x
  3. Step 3: Cross multiply
    402,575.06x = 877,491.98 × 877,491.98
  4. Step 4: Simplify right side
    402,575.06x = 769,992,182,642.38
  5. Step 5: Solve for x
    x = 769,992,182,642.38/402,575.06
  6. Step 6: Final answer
    x = 1,912,667.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.