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Finding the Third Proportional to 216,537,640 and 511,006,849

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Solution

The third proportional to 216,537,640 and 511,006,849 is: 1,205,924,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,537,640 : 511,006,849 = 511,006,849 : x
  2. Step 2: Convert to fraction form
    216,537,640/511,006,849 = 511,006,849/x
  3. Step 3: Cross multiply
    216,537,640x = 511,006,849 × 511,006,849
  4. Step 4: Simplify right side
    216,537,640x = 261,127,999,724,908,800
  5. Step 5: Solve for x
    x = 261,127,999,724,908,800/216,537,640
  6. Step 6: Final answer
    x = 1,205,924,289.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.