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Finding the Third Proportional to 142,020 and 310,608

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Solution

The third proportional to 142,020 and 310,608 is: 679,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,020 : 310,608 = 310,608 : x
  2. Step 2: Convert to fraction form
    142,020/310,608 = 310,608/x
  3. Step 3: Cross multiply
    142,020x = 310,608 × 310,608
  4. Step 4: Simplify right side
    142,020x = 96,477,329,664
  5. Step 5: Solve for x
    x = 96,477,329,664/142,020
  6. Step 6: Final answer
    x = 679,322.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.