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Finding the Third Proportional to 77,052,906 and 112,814,977.50

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Solution

The third proportional to 77,052,906 and 112,814,977.50 is: 165,175,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,052,906 : 112,814,977.50 = 112,814,977.50 : x
  2. Step 2: Convert to fraction form
    77,052,906/112,814,977.50 = 112,814,977.50/x
  3. Step 3: Cross multiply
    77,052,906x = 112,814,977.50 × 112,814,977.50
  4. Step 4: Simplify right side
    77,052,906x = 12,727,219,148,325,506
  5. Step 5: Solve for x
    x = 12,727,219,148,325,506/77,052,906
  6. Step 6: Final answer
    x = 165,175,070.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.