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Finding the Third Proportional to 577,553,752 and 1,260,943,018

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Solution

The third proportional to 577,553,752 and 1,260,943,018 is: 2,752,951,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,553,752 : 1,260,943,018 = 1,260,943,018 : x
  2. Step 2: Convert to fraction form
    577,553,752/1,260,943,018 = 1,260,943,018/x
  3. Step 3: Cross multiply
    577,553,752x = 1,260,943,018 × 1,260,943,018
  4. Step 4: Simplify right side
    577,553,752x = 1,589,977,294,642,948,352
  5. Step 5: Solve for x
    x = 1,589,977,294,642,948,352/577,553,752
  6. Step 6: Final answer
    x = 2,752,951,200.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.