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Finding the Third Proportional to 160,064,706 and 344,396,364

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Solution

The third proportional to 160,064,706 and 344,396,364 is: 741,005,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,064,706 : 344,396,364 = 344,396,364 : x
  2. Step 2: Convert to fraction form
    160,064,706/344,396,364 = 344,396,364/x
  3. Step 3: Cross multiply
    160,064,706x = 344,396,364 × 344,396,364
  4. Step 4: Simplify right side
    160,064,706x = 118,608,855,536,420,496
  5. Step 5: Solve for x
    x = 118,608,855,536,420,496/160,064,706
  6. Step 6: Final answer
    x = 741,005,675.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.