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Finding the Third Proportional to 72,016,020 and 102,909,366

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Solution

The third proportional to 72,016,020 and 102,909,366 is: 147,055,302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,016,020 : 102,909,366 = 102,909,366 : x
  2. Step 2: Convert to fraction form
    72,016,020/102,909,366 = 102,909,366/x
  3. Step 3: Cross multiply
    72,016,020x = 102,909,366 × 102,909,366
  4. Step 4: Simplify right side
    72,016,020x = 10,590,337,610,521,956
  5. Step 5: Solve for x
    x = 10,590,337,610,521,956/72,016,020
  6. Step 6: Final answer
    x = 147,055,302.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.