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Finding the Third Proportional to 77,666,841 and 129,429,207

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Solution

The third proportional to 77,666,841 and 129,429,207 is: 215,689,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,666,841 : 129,429,207 = 129,429,207 : x
  2. Step 2: Convert to fraction form
    77,666,841/129,429,207 = 129,429,207/x
  3. Step 3: Cross multiply
    77,666,841x = 129,429,207 × 129,429,207
  4. Step 4: Simplify right side
    77,666,841x = 16,751,919,624,648,848
  5. Step 5: Solve for x
    x = 16,751,919,624,648,848/77,666,841
  6. Step 6: Final answer
    x = 215,689,468.10

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.