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Finding the Third Proportional to 80,360,454 and 174,420,276

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Solution

The third proportional to 80,360,454 and 174,420,276 is: 378,574,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,360,454 : 174,420,276 = 174,420,276 : x
  2. Step 2: Convert to fraction form
    80,360,454/174,420,276 = 174,420,276/x
  3. Step 3: Cross multiply
    80,360,454x = 174,420,276 × 174,420,276
  4. Step 4: Simplify right side
    80,360,454x = 30,422,432,679,916,176
  5. Step 5: Solve for x
    x = 30,422,432,679,916,176/80,360,454
  6. Step 6: Final answer
    x = 378,574,674.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.