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Finding the Third Proportional to 468,881,820 and 689,274,042

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Solution

The third proportional to 468,881,820 and 689,274,042 is: 1,013,258,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,881,820 : 689,274,042 = 689,274,042 : x
  2. Step 2: Convert to fraction form
    468,881,820/689,274,042 = 689,274,042/x
  3. Step 3: Cross multiply
    468,881,820x = 689,274,042 × 689,274,042
  4. Step 4: Simplify right side
    468,881,820x = 475,098,704,975,017,792
  5. Step 5: Solve for x
    x = 475,098,704,975,017,792/468,881,820
  6. Step 6: Final answer
    x = 1,013,258,959.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.