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Finding the Third Proportional to 346,486,781.25 and 770,442,549.75

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Solution

The third proportional to 346,486,781.25 and 770,442,549.75 is: 1,713,143,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,486,781.25 : 770,442,549.75 = 770,442,549.75 : x
  2. Step 2: Convert to fraction form
    346,486,781.25/770,442,549.75 = 770,442,549.75/x
  3. Step 3: Cross multiply
    346,486,781.25x = 770,442,549.75 × 770,442,549.75
  4. Step 4: Simplify right side
    346,486,781.25x = 593,581,722,465,281,280
  5. Step 5: Solve for x
    x = 593,581,722,465,281,280/346,486,781.25
  6. Step 6: Final answer
    x = 1,713,143,919.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.