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Finding the Third Proportional to 55,369,940 and 121,165,714

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Solution

The third proportional to 55,369,940 and 121,165,714 is: 265,146,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,369,940 : 121,165,714 = 121,165,714 : x
  2. Step 2: Convert to fraction form
    55,369,940/121,165,714 = 121,165,714/x
  3. Step 3: Cross multiply
    55,369,940x = 121,165,714 × 121,165,714
  4. Step 4: Simplify right side
    55,369,940x = 14,681,130,249,129,796
  5. Step 5: Solve for x
    x = 14,681,130,249,129,796/55,369,940
  6. Step 6: Final answer
    x = 265,146,219.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.