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Finding the Third Proportional to 128,307,680 and 185,382,480

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Solution

The third proportional to 128,307,680 and 185,382,480 is: 267,845,727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,307,680 : 185,382,480 = 185,382,480 : x
  2. Step 2: Convert to fraction form
    128,307,680/185,382,480 = 185,382,480/x
  3. Step 3: Cross multiply
    128,307,680x = 185,382,480 × 185,382,480
  4. Step 4: Simplify right side
    128,307,680x = 34,366,663,890,950,400
  5. Step 5: Solve for x
    x = 34,366,663,890,950,400/128,307,680
  6. Step 6: Final answer
    x = 267,845,727.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.