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Finding the Third Proportional to 103,453,336 and 172,415,020

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Solution

The third proportional to 103,453,336 and 172,415,020 is: 287,346,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,453,336 : 172,415,020 = 172,415,020 : x
  2. Step 2: Convert to fraction form
    103,453,336/172,415,020 = 172,415,020/x
  3. Step 3: Cross multiply
    103,453,336x = 172,415,020 × 172,415,020
  4. Step 4: Simplify right side
    103,453,336x = 29,726,939,121,600,400
  5. Step 5: Solve for x
    x = 29,726,939,121,600,400/103,453,336
  6. Step 6: Final answer
    x = 287,346,356.06

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.