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Finding the Third Proportional to 154,038,796.31 and 342,518,468.63

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Solution

The third proportional to 154,038,796.31 and 342,518,468.63 is: 761,619,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,038,796.31 : 342,518,468.63 = 342,518,468.63 : x
  2. Step 2: Convert to fraction form
    154,038,796.31/342,518,468.63 = 342,518,468.63/x
  3. Step 3: Cross multiply
    154,038,796.31x = 342,518,468.63 × 342,518,468.63
  4. Step 4: Simplify right side
    154,038,796.31x = 117,318,901,349,215,104
  5. Step 5: Solve for x
    x = 117,318,901,349,215,104/154,038,796.31
  6. Step 6: Final answer
    x = 761,619,177.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.