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Finding the Third Proportional to 111,736,509 and 172,387,491

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Solution

The third proportional to 111,736,509 and 172,387,491 is: 265,960,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,736,509 : 172,387,491 = 172,387,491 : x
  2. Step 2: Convert to fraction form
    111,736,509/172,387,491 = 172,387,491/x
  3. Step 3: Cross multiply
    111,736,509x = 172,387,491 × 172,387,491
  4. Step 4: Simplify right side
    111,736,509x = 29,717,447,053,275,080
  5. Step 5: Solve for x
    x = 29,717,447,053,275,080/111,736,509
  6. Step 6: Final answer
    x = 265,960,045.82

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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.