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Finding the Third Proportional to 145,452,458 and 313,978,312

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Solution

The third proportional to 145,452,458 and 313,978,312 is: 677,763,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,452,458 : 313,978,312 = 313,978,312 : x
  2. Step 2: Convert to fraction form
    145,452,458/313,978,312 = 313,978,312/x
  3. Step 3: Cross multiply
    145,452,458x = 313,978,312 × 313,978,312
  4. Step 4: Simplify right side
    145,452,458x = 98,582,380,406,369,344
  5. Step 5: Solve for x
    x = 98,582,380,406,369,344/145,452,458
  6. Step 6: Final answer
    x = 677,763,592.05

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