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Finding the Third Proportional to 142,052 and 306,637

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Solution

The third proportional to 142,052 and 306,637 is: 661,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,052 : 306,637 = 306,637 : x
  2. Step 2: Convert to fraction form
    142,052/306,637 = 306,637/x
  3. Step 3: Cross multiply
    142,052x = 306,637 × 306,637
  4. Step 4: Simplify right side
    142,052x = 94,026,249,769
  5. Step 5: Solve for x
    x = 94,026,249,769/142,052
  6. Step 6: Final answer
    x = 661,914.30

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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.