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Finding the Third Proportional to 65,432,820 and 137,634,660

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Solution

The third proportional to 65,432,820 and 137,634,660 is: 289,507,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,432,820 : 137,634,660 = 137,634,660 : x
  2. Step 2: Convert to fraction form
    65,432,820/137,634,660 = 137,634,660/x
  3. Step 3: Cross multiply
    65,432,820x = 137,634,660 × 137,634,660
  4. Step 4: Simplify right side
    65,432,820x = 18,943,299,633,315,600
  5. Step 5: Solve for x
    x = 18,943,299,633,315,600/65,432,820
  6. Step 6: Final answer
    x = 289,507,614.58

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.