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Finding the Third Proportional to 130,233,503,770 and 282,102,767,811

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Solution

The third proportional to 130,233,503,770 and 282,102,767,811 is: 611,071,416,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,233,503,770 : 282,102,767,811 = 282,102,767,811 : x
  2. Step 2: Convert to fraction form
    130,233,503,770/282,102,767,811 = 282,102,767,811/x
  3. Step 3: Cross multiply
    130,233,503,770x = 282,102,767,811 × 282,102,767,811
  4. Step 4: Simplify right side
    130,233,503,770x = 79,581,971,606,626,981,904,384
  5. Step 5: Solve for x
    x = 79,581,971,606,626,981,904,384/130,233,503,770
  6. Step 6: Final answer
    x = 611,071,416,362.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.