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Finding the Third Proportional to 142,258 and 306,572

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Solution

The third proportional to 142,258 and 306,572 is: 660,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,258 : 306,572 = 306,572 : x
  2. Step 2: Convert to fraction form
    142,258/306,572 = 306,572/x
  3. Step 3: Cross multiply
    142,258x = 306,572 × 306,572
  4. Step 4: Simplify right side
    142,258x = 93,986,391,184
  5. Step 5: Solve for x
    x = 93,986,391,184/142,258
  6. Step 6: Final answer
    x = 660,675.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.