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Finding the Third Proportional to 461,817 and 721,885.50

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Solution

The third proportional to 461,817 and 721,885.50 is: 1,128,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,817 : 721,885.50 = 721,885.50 : x
  2. Step 2: Convert to fraction form
    461,817/721,885.50 = 721,885.50/x
  3. Step 3: Cross multiply
    461,817x = 721,885.50 × 721,885.50
  4. Step 4: Simplify right side
    461,817x = 521,118,675,110.25
  5. Step 5: Solve for x
    x = 521,118,675,110.25/461,817
  6. Step 6: Final answer
    x = 1,128,409.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.