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Finding the Third Proportional to 133,111,540 and 290,720,240

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Solution

The third proportional to 133,111,540 and 290,720,240 is: 634,943,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,111,540 : 290,720,240 = 290,720,240 : x
  2. Step 2: Convert to fraction form
    133,111,540/290,720,240 = 290,720,240/x
  3. Step 3: Cross multiply
    133,111,540x = 290,720,240 × 290,720,240
  4. Step 4: Simplify right side
    133,111,540x = 84,518,257,945,657,600
  5. Step 5: Solve for x
    x = 84,518,257,945,657,600/133,111,540
  6. Step 6: Final answer
    x = 634,943,130.74

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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.