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Finding the Third Proportional to 70,618,205 and 149,636,920

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Solution

The third proportional to 70,618,205 and 149,636,920 is: 317,074,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,618,205 : 149,636,920 = 149,636,920 : x
  2. Step 2: Convert to fraction form
    70,618,205/149,636,920 = 149,636,920/x
  3. Step 3: Cross multiply
    70,618,205x = 149,636,920 × 149,636,920
  4. Step 4: Simplify right side
    70,618,205x = 22,391,207,827,086,400
  5. Step 5: Solve for x
    x = 22,391,207,827,086,400/70,618,205
  6. Step 6: Final answer
    x = 317,074,157.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.