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Finding the Third Proportional to 291,024,090 and 620,145,720

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Solution

The third proportional to 291,024,090 and 620,145,720 is: 1,321,473,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,024,090 : 620,145,720 = 620,145,720 : x
  2. Step 2: Convert to fraction form
    291,024,090/620,145,720 = 620,145,720/x
  3. Step 3: Cross multiply
    291,024,090x = 620,145,720 × 620,145,720
  4. Step 4: Simplify right side
    291,024,090x = 384,580,714,034,318,400
  5. Step 5: Solve for x
    x = 384,580,714,034,318,400/291,024,090
  6. Step 6: Final answer
    x = 1,321,473,813.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.