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Finding the Third Proportional to 572,172.75 and 840,742.88

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Solution

The third proportional to 572,172.75 and 840,742.88 is: 1,235,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,172.75 : 840,742.88 = 840,742.88 : x
  2. Step 2: Convert to fraction form
    572,172.75/840,742.88 = 840,742.88/x
  3. Step 3: Cross multiply
    572,172.75x = 840,742.88 × 840,742.88
  4. Step 4: Simplify right side
    572,172.75x = 706,848,581,863.27
  5. Step 5: Solve for x
    x = 706,848,581,863.27/572,172.75
  6. Step 6: Final answer
    x = 1,235,376.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.