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Finding the Third Proportional to 64,672,020 and 137,810,160

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Solution

The third proportional to 64,672,020 and 137,810,160 is: 293,660,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,672,020 : 137,810,160 = 137,810,160 : x
  2. Step 2: Convert to fraction form
    64,672,020/137,810,160 = 137,810,160/x
  3. Step 3: Cross multiply
    64,672,020x = 137,810,160 × 137,810,160
  4. Step 4: Simplify right side
    64,672,020x = 18,991,640,199,225,600
  5. Step 5: Solve for x
    x = 18,991,640,199,225,600/64,672,020
  6. Step 6: Final answer
    x = 293,660,847.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.