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Finding the Third Proportional to 285,529.64 and 634,885.45

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Solution

The third proportional to 285,529.64 and 634,885.45 is: 1,411,690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,529.64 : 634,885.45 = 634,885.45 : x
  2. Step 2: Convert to fraction form
    285,529.64/634,885.45 = 634,885.45/x
  3. Step 3: Cross multiply
    285,529.64x = 634,885.45 × 634,885.45
  4. Step 4: Simplify right side
    285,529.64x = 403,079,538,589.74
  5. Step 5: Solve for x
    x = 403,079,538,589.74/285,529.64
  6. Step 6: Final answer
    x = 1,411,690.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.