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Finding the Third Proportional to 65,877,136 and 145,156,640

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Solution

The third proportional to 65,877,136 and 145,156,640 is: 319,844,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,877,136 : 145,156,640 = 145,156,640 : x
  2. Step 2: Convert to fraction form
    65,877,136/145,156,640 = 145,156,640/x
  3. Step 3: Cross multiply
    65,877,136x = 145,156,640 × 145,156,640
  4. Step 4: Simplify right side
    65,877,136x = 21,070,450,136,089,600
  5. Step 5: Solve for x
    x = 21,070,450,136,089,600/65,877,136
  6. Step 6: Final answer
    x = 319,844,659.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.