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Finding the Third Proportional to 64,718,975 and 138,649,594

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Solution

The third proportional to 64,718,975 and 138,649,594 is: 297,033,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,718,975 : 138,649,594 = 138,649,594 : x
  2. Step 2: Convert to fraction form
    64,718,975/138,649,594 = 138,649,594/x
  3. Step 3: Cross multiply
    64,718,975x = 138,649,594 × 138,649,594
  4. Step 4: Simplify right side
    64,718,975x = 19,223,709,916,364,836
  5. Step 5: Solve for x
    x = 19,223,709,916,364,836/64,718,975
  6. Step 6: Final answer
    x = 297,033,596.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.