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Finding the Third Proportional to 142,805,427 and 310,963,025

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Solution

The third proportional to 142,805,427 and 310,963,025 is: 677,131,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,805,427 : 310,963,025 = 310,963,025 : x
  2. Step 2: Convert to fraction form
    142,805,427/310,963,025 = 310,963,025/x
  3. Step 3: Cross multiply
    142,805,427x = 310,963,025 × 310,963,025
  4. Step 4: Simplify right side
    142,805,427x = 96,698,002,917,150,624
  5. Step 5: Solve for x
    x = 96,698,002,917,150,624/142,805,427
  6. Step 6: Final answer
    x = 677,131,149.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.