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Finding the Third Proportional to 287,243,962 and 454,913,640

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Solution

The third proportional to 287,243,962 and 454,913,640 is: 720,455,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,243,962 : 454,913,640 = 454,913,640 : x
  2. Step 2: Convert to fraction form
    287,243,962/454,913,640 = 454,913,640/x
  3. Step 3: Cross multiply
    287,243,962x = 454,913,640 × 454,913,640
  4. Step 4: Simplify right side
    287,243,962x = 206,946,419,858,049,600
  5. Step 5: Solve for x
    x = 206,946,419,858,049,600/287,243,962
  6. Step 6: Final answer
    x = 720,455,247.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.