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Finding the Third Proportional to 340,346 and 487,155

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Solution

The third proportional to 340,346 and 487,155 is: 697,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,346 : 487,155 = 487,155 : x
  2. Step 2: Convert to fraction form
    340,346/487,155 = 487,155/x
  3. Step 3: Cross multiply
    340,346x = 487,155 × 487,155
  4. Step 4: Simplify right side
    340,346x = 237,319,994,025
  5. Step 5: Solve for x
    x = 237,319,994,025/340,346
  6. Step 6: Final answer
    x = 697,290.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.