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Finding the Third Proportional to 458,713,620 and 990,455,688

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Solution

The third proportional to 458,713,620 and 990,455,688 is: 2,138,594,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,713,620 : 990,455,688 = 990,455,688 : x
  2. Step 2: Convert to fraction form
    458,713,620/990,455,688 = 990,455,688/x
  3. Step 3: Cross multiply
    458,713,620x = 990,455,688 × 990,455,688
  4. Step 4: Simplify right side
    458,713,620x = 981,002,469,891,553,280
  5. Step 5: Solve for x
    x = 981,002,469,891,553,280/458,713,620
  6. Step 6: Final answer
    x = 2,138,594,598.28

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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.