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Finding the Third Proportional to 137,748,220 and 299,709,180

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Solution

The third proportional to 137,748,220 and 299,709,180 is: 652,099,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,748,220 : 299,709,180 = 299,709,180 : x
  2. Step 2: Convert to fraction form
    137,748,220/299,709,180 = 299,709,180/x
  3. Step 3: Cross multiply
    137,748,220x = 299,709,180 × 299,709,180
  4. Step 4: Simplify right side
    137,748,220x = 89,825,592,576,272,400
  5. Step 5: Solve for x
    x = 89,825,592,576,272,400/137,748,220
  6. Step 6: Final answer
    x = 652,099,842.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.