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Finding the Third Proportional to 187,980,480 and 287,373,744

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Solution

The third proportional to 187,980,480 and 287,373,744 is: 439,320,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,980,480 : 287,373,744 = 287,373,744 : x
  2. Step 2: Convert to fraction form
    187,980,480/287,373,744 = 287,373,744/x
  3. Step 3: Cross multiply
    187,980,480x = 287,373,744 × 287,373,744
  4. Step 4: Simplify right side
    187,980,480x = 82,583,668,740,577,536
  5. Step 5: Solve for x
    x = 82,583,668,740,577,536/187,980,480
  6. Step 6: Final answer
    x = 439,320,448.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.