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Finding the Third Proportional to 65,420,205,435 and 142,302,707,829

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Solution

The third proportional to 65,420,205,435 and 142,302,707,829 is: 309,538,322,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,420,205,435 : 142,302,707,829 = 142,302,707,829 : x
  2. Step 2: Convert to fraction form
    65,420,205,435/142,302,707,829 = 142,302,707,829/x
  3. Step 3: Cross multiply
    65,420,205,435x = 142,302,707,829 × 142,302,707,829
  4. Step 4: Simplify right side
    65,420,205,435x = 20,250,060,655,465,739,583,488
  5. Step 5: Solve for x
    x = 20,250,060,655,465,739,583,488/65,420,205,435
  6. Step 6: Final answer
    x = 309,538,322,614.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.