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Finding the Third Proportional to 142,046 and 305,597

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Solution

The third proportional to 142,046 and 305,597 is: 657,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,046 : 305,597 = 305,597 : x
  2. Step 2: Convert to fraction form
    142,046/305,597 = 305,597/x
  3. Step 3: Cross multiply
    142,046x = 305,597 × 305,597
  4. Step 4: Simplify right side
    142,046x = 93,389,526,409
  5. Step 5: Solve for x
    x = 93,389,526,409/142,046
  6. Step 6: Final answer
    x = 657,459.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.