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Finding the Third Proportional to 1,146,160,213 and 1,720,453,447.50

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Solution

The third proportional to 1,146,160,213 and 1,720,453,447.50 is: 2,582,501,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,160,213 : 1,720,453,447.50 = 1,720,453,447.50 : x
  2. Step 2: Convert to fraction form
    1,146,160,213/1,720,453,447.50 = 1,720,453,447.50/x
  3. Step 3: Cross multiply
    1,146,160,213x = 1,720,453,447.50 × 1,720,453,447.50
  4. Step 4: Simplify right side
    1,146,160,213x = 2,959,960,065,014,635,008
  5. Step 5: Solve for x
    x = 2,959,960,065,014,635,008/1,146,160,213
  6. Step 6: Final answer
    x = 2,582,501,147.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.