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Finding the Third Proportional to 142,572 and 311,712

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Solution

The third proportional to 142,572 and 311,712 is: 681,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,572 : 311,712 = 311,712 : x
  2. Step 2: Convert to fraction form
    142,572/311,712 = 311,712/x
  3. Step 3: Cross multiply
    142,572x = 311,712 × 311,712
  4. Step 4: Simplify right side
    142,572x = 97,164,370,944
  5. Step 5: Solve for x
    x = 97,164,370,944/142,572
  6. Step 6: Final answer
    x = 681,510.89

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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.