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Finding the Third Proportional to 9,988,315 and 21,784,239

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Solution

The third proportional to 9,988,315 and 21,784,239 is: 47,510,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988,315 : 21,784,239 = 21,784,239 : x
  2. Step 2: Convert to fraction form
    9,988,315/21,784,239 = 21,784,239/x
  3. Step 3: Cross multiply
    9,988,315x = 21,784,239 × 21,784,239
  4. Step 4: Simplify right side
    9,988,315x = 474,553,068,809,121
  5. Step 5: Solve for x
    x = 474,553,068,809,121/9,988,315
  6. Step 6: Final answer
    x = 47,510,823.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.