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Finding the Third Proportional to 14,656,311 and 21,557,971

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Solution

The third proportional to 14,656,311 and 21,557,971 is: 31,709,624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656,311 : 21,557,971 = 21,557,971 : x
  2. Step 2: Convert to fraction form
    14,656,311/21,557,971 = 21,557,971/x
  3. Step 3: Cross multiply
    14,656,311x = 21,557,971 × 21,557,971
  4. Step 4: Simplify right side
    14,656,311x = 464,746,113,636,841
  5. Step 5: Solve for x
    x = 464,746,113,636,841/14,656,311
  6. Step 6: Final answer
    x = 31,709,624.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.