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Finding the Third Proportional to 650,261,820 and 990,637,440

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Solution

The third proportional to 650,261,820 and 990,637,440 is: 1,509,180,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,261,820 : 990,637,440 = 990,637,440 : x
  2. Step 2: Convert to fraction form
    650,261,820/990,637,440 = 990,637,440/x
  3. Step 3: Cross multiply
    650,261,820x = 990,637,440 × 990,637,440
  4. Step 4: Simplify right side
    650,261,820x = 981,362,537,529,753,600
  5. Step 5: Solve for x
    x = 981,362,537,529,753,600/650,261,820
  6. Step 6: Final answer
    x = 1,509,180,621.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.