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Finding the Third Proportional to 135,020 and 312,581

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Solution

The third proportional to 135,020 and 312,581 is: 723,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,020 : 312,581 = 312,581 : x
  2. Step 2: Convert to fraction form
    135,020/312,581 = 312,581/x
  3. Step 3: Cross multiply
    135,020x = 312,581 × 312,581
  4. Step 4: Simplify right side
    135,020x = 97,706,881,561
  5. Step 5: Solve for x
    x = 97,706,881,561/135,020
  6. Step 6: Final answer
    x = 723,647.47

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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.