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Finding the Third Proportional to 487,209,681 and 1,149,765,391.13

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Solution

The third proportional to 487,209,681 and 1,149,765,391.13 is: 2,713,329,611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,209,681 : 1,149,765,391.13 = 1,149,765,391.13 : x
  2. Step 2: Convert to fraction form
    487,209,681/1,149,765,391.13 = 1,149,765,391.13/x
  3. Step 3: Cross multiply
    487,209,681x = 1,149,765,391.13 × 1,149,765,391.13
  4. Step 4: Simplify right side
    487,209,681x = 1,321,960,454,628,824,320
  5. Step 5: Solve for x
    x = 1,321,960,454,628,824,320/487,209,681
  6. Step 6: Final answer
    x = 2,713,329,611.83

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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.