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Finding the Third Proportional to 78,960,159.75 and 122,746,179.75

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Solution

The third proportional to 78,960,159.75 and 122,746,179.75 is: 190,812,995.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,960,159.75 : 122,746,179.75 = 122,746,179.75 : x
  2. Step 2: Convert to fraction form
    78,960,159.75/122,746,179.75 = 122,746,179.75/x
  3. Step 3: Cross multiply
    78,960,159.75x = 122,746,179.75 × 122,746,179.75
  4. Step 4: Simplify right side
    78,960,159.75x = 15,066,624,643,219,310
  5. Step 5: Solve for x
    x = 15,066,624,643,219,310/78,960,159.75
  6. Step 6: Final answer
    x = 190,812,995.96

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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.