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Finding the Third Proportional to 189,547,322 and 291,218,511

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Solution

The third proportional to 189,547,322 and 291,218,511 is: 447,425,055.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,547,322 : 291,218,511 = 291,218,511 : x
  2. Step 2: Convert to fraction form
    189,547,322/291,218,511 = 291,218,511/x
  3. Step 3: Cross multiply
    189,547,322x = 291,218,511 × 291,218,511
  4. Step 4: Simplify right side
    189,547,322x = 84,808,221,149,057,120
  5. Step 5: Solve for x
    x = 84,808,221,149,057,120/189,547,322
  6. Step 6: Final answer
    x = 447,425,055.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.