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Finding the Third Proportional to 21,685,688 and 47,148,784

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Solution

The third proportional to 21,685,688 and 47,148,784 is: 102,510,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685,688 : 47,148,784 = 47,148,784 : x
  2. Step 2: Convert to fraction form
    21,685,688/47,148,784 = 47,148,784/x
  3. Step 3: Cross multiply
    21,685,688x = 47,148,784 × 47,148,784
  4. Step 4: Simplify right side
    21,685,688x = 2,223,007,832,678,656
  5. Step 5: Solve for x
    x = 2,223,007,832,678,656/21,685,688
  6. Step 6: Final answer
    x = 102,510,366.87

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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.