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Finding the Third Proportional to 512,812,810 and 1,209,344,281

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Solution

The third proportional to 512,812,810 and 1,209,344,281 is: 2,851,944,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,812,810 : 1,209,344,281 = 1,209,344,281 : x
  2. Step 2: Convert to fraction form
    512,812,810/1,209,344,281 = 1,209,344,281/x
  3. Step 3: Cross multiply
    512,812,810x = 1,209,344,281 × 1,209,344,281
  4. Step 4: Simplify right side
    512,812,810x = 1,462,513,589,987,406,848
  5. Step 5: Solve for x
    x = 1,462,513,589,987,406,848/512,812,810
  6. Step 6: Final answer
    x = 2,851,944,338.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.