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Finding the Third Proportional to 31,513,225 and 68,547,897

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Solution

The third proportional to 31,513,225 and 68,547,897 is: 149,106,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,513,225 : 68,547,897 = 68,547,897 : x
  2. Step 2: Convert to fraction form
    31,513,225/68,547,897 = 68,547,897/x
  3. Step 3: Cross multiply
    31,513,225x = 68,547,897 × 68,547,897
  4. Step 4: Simplify right side
    31,513,225x = 4,698,814,183,122,609
  5. Step 5: Solve for x
    x = 4,698,814,183,122,609/31,513,225
  6. Step 6: Final answer
    x = 149,106,103.33

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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.