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Finding the Third Proportional to 487,240,476 and 1,052,143,896

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Solution

The third proportional to 487,240,476 and 1,052,143,896 is: 2,271,992,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,240,476 : 1,052,143,896 = 1,052,143,896 : x
  2. Step 2: Convert to fraction form
    487,240,476/1,052,143,896 = 1,052,143,896/x
  3. Step 3: Cross multiply
    487,240,476x = 1,052,143,896 × 1,052,143,896
  4. Step 4: Simplify right side
    487,240,476x = 1,107,006,777,890,058,752
  5. Step 5: Solve for x
    x = 1,107,006,777,890,058,752/487,240,476
  6. Step 6: Final answer
    x = 2,271,992,645.15

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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.