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Finding the Third Proportional to 7,767,072 and 16,513,920

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Solution

The third proportional to 7,767,072 and 16,513,920 is: 35,110,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767,072 : 16,513,920 = 16,513,920 : x
  2. Step 2: Convert to fraction form
    7,767,072/16,513,920 = 16,513,920/x
  3. Step 3: Cross multiply
    7,767,072x = 16,513,920 × 16,513,920
  4. Step 4: Simplify right side
    7,767,072x = 272,709,553,766,400
  5. Step 5: Solve for x
    x = 272,709,553,766,400/7,767,072
  6. Step 6: Final answer
    x = 35,110,985.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.