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Finding the Third Proportional to 145,247,458 and 313,448,390

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Solution

The third proportional to 145,247,458 and 313,448,390 is: 676,431,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,247,458 : 313,448,390 = 313,448,390 : x
  2. Step 2: Convert to fraction form
    145,247,458/313,448,390 = 313,448,390/x
  3. Step 3: Cross multiply
    145,247,458x = 313,448,390 × 313,448,390
  4. Step 4: Simplify right side
    145,247,458x = 98,249,893,193,592,096
  5. Step 5: Solve for x
    x = 98,249,893,193,592,096/145,247,458
  6. Step 6: Final answer
    x = 676,431,068.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.