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Finding the Third Proportional to 64,736,523 and 138,706,820

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Solution

The third proportional to 64,736,523 and 138,706,820 is: 297,198,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736,523 : 138,706,820 = 138,706,820 : x
  2. Step 2: Convert to fraction form
    64,736,523/138,706,820 = 138,706,820/x
  3. Step 3: Cross multiply
    64,736,523x = 138,706,820 × 138,706,820
  4. Step 4: Simplify right side
    64,736,523x = 19,239,581,914,512,400
  5. Step 5: Solve for x
    x = 19,239,581,914,512,400/64,736,523
  6. Step 6: Final answer
    x = 297,198,258.77

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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.