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Finding the Third Proportional to 53,152,397,248 and 125,471,314,648

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Solution

The third proportional to 53,152,397,248 and 125,471,314,648 is: 296,187,032,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,152,397,248 : 125,471,314,648 = 125,471,314,648 : x
  2. Step 2: Convert to fraction form
    53,152,397,248/125,471,314,648 = 125,471,314,648/x
  3. Step 3: Cross multiply
    53,152,397,248x = 125,471,314,648 × 125,471,314,648
  4. Step 4: Simplify right side
    53,152,397,248x = 15,743,050,799,497,418,375,168
  5. Step 5: Solve for x
    x = 15,743,050,799,497,418,375,168/53,152,397,248
  6. Step 6: Final answer
    x = 296,187,032,280.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.