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Finding the Third Proportional to 77,985,747 and 120,693,726

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Solution

The third proportional to 77,985,747 and 120,693,726 is: 186,790,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,985,747 : 120,693,726 = 120,693,726 : x
  2. Step 2: Convert to fraction form
    77,985,747/120,693,726 = 120,693,726/x
  3. Step 3: Cross multiply
    77,985,747x = 120,693,726 × 120,693,726
  4. Step 4: Simplify right side
    77,985,747x = 14,566,975,495,763,076
  5. Step 5: Solve for x
    x = 14,566,975,495,763,076/77,985,747
  6. Step 6: Final answer
    x = 186,790,228.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.