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Finding the Third Proportional to 170,532,756 and 258,990,642

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Solution

The third proportional to 170,532,756 and 258,990,642 is: 393,332,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,532,756 : 258,990,642 = 258,990,642 : x
  2. Step 2: Convert to fraction form
    170,532,756/258,990,642 = 258,990,642/x
  3. Step 3: Cross multiply
    170,532,756x = 258,990,642 × 258,990,642
  4. Step 4: Simplify right side
    170,532,756x = 67,076,152,643,572,160
  5. Step 5: Solve for x
    x = 67,076,152,643,572,160/170,532,756
  6. Step 6: Final answer
    x = 393,332,953.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.