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Finding the Third Proportional to 77,552,730 and 120,085,128

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Solution

The third proportional to 77,552,730 and 120,085,128 is: 185,943,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,552,730 : 120,085,128 = 120,085,128 : x
  2. Step 2: Convert to fraction form
    77,552,730/120,085,128 = 120,085,128/x
  3. Step 3: Cross multiply
    77,552,730x = 120,085,128 × 120,085,128
  4. Step 4: Simplify right side
    77,552,730x = 14,420,437,966,776,384
  5. Step 5: Solve for x
    x = 14,420,437,966,776,384/77,552,730
  6. Step 6: Final answer
    x = 185,943,653.65

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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.