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Finding the Third Proportional to 135,010 and 312,559

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Solution

The third proportional to 135,010 and 312,559 is: 723,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,010 : 312,559 = 312,559 : x
  2. Step 2: Convert to fraction form
    135,010/312,559 = 312,559/x
  3. Step 3: Cross multiply
    135,010x = 312,559 × 312,559
  4. Step 4: Simplify right side
    135,010x = 97,693,128,481
  5. Step 5: Solve for x
    x = 97,693,128,481/135,010
  6. Step 6: Final answer
    x = 723,599.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.