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Finding the Third Proportional to 102,879,688 and 221,912,306

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Solution

The third proportional to 102,879,688 and 221,912,306 is: 478,666,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,879,688 : 221,912,306 = 221,912,306 : x
  2. Step 2: Convert to fraction form
    102,879,688/221,912,306 = 221,912,306/x
  3. Step 3: Cross multiply
    102,879,688x = 221,912,306 × 221,912,306
  4. Step 4: Simplify right side
    102,879,688x = 49,245,071,554,237,632
  5. Step 5: Solve for x
    x = 49,245,071,554,237,632/102,879,688
  6. Step 6: Final answer
    x = 478,666,610.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.