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Finding the Third Proportional to 282,218,150,312 and 431,425,792,151

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Solution

The third proportional to 282,218,150,312 and 431,425,792,151 is: 659,518,935,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,218,150,312 : 431,425,792,151 = 431,425,792,151 : x
  2. Step 2: Convert to fraction form
    282,218,150,312/431,425,792,151 = 431,425,792,151/x
  3. Step 3: Cross multiply
    282,218,150,312x = 431,425,792,151 × 431,425,792,151
  4. Step 4: Simplify right side
    282,218,150,312x = 186,128,214,133,117,844,193,280
  5. Step 5: Solve for x
    x = 186,128,214,133,117,844,193,280/282,218,150,312
  6. Step 6: Final answer
    x = 659,518,935,714.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.