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Finding the Third Proportional to 78,980,020 and 119,311,566

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Solution

The third proportional to 78,980,020 and 119,311,566 is: 180,238,619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,980,020 : 119,311,566 = 119,311,566 : x
  2. Step 2: Convert to fraction form
    78,980,020/119,311,566 = 119,311,566/x
  3. Step 3: Cross multiply
    78,980,020x = 119,311,566 × 119,311,566
  4. Step 4: Simplify right side
    78,980,020x = 14,235,249,781,372,356
  5. Step 5: Solve for x
    x = 14,235,249,781,372,356/78,980,020
  6. Step 6: Final answer
    x = 180,238,619.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.