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Finding the Third Proportional to 411,132,800 and 890,009,280

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Solution

The third proportional to 411,132,800 and 890,009,280 is: 1,926,668,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,132,800 : 890,009,280 = 890,009,280 : x
  2. Step 2: Convert to fraction form
    411,132,800/890,009,280 = 890,009,280/x
  3. Step 3: Cross multiply
    411,132,800x = 890,009,280 × 890,009,280
  4. Step 4: Simplify right side
    411,132,800x = 792,116,518,486,118,400
  5. Step 5: Solve for x
    x = 792,116,518,486,118,400/411,132,800
  6. Step 6: Final answer
    x = 1,926,668,265.06

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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.