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Finding the Third Proportional to 343,256,338.50 and 745,029,313.50

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Solution

The third proportional to 343,256,338.50 and 745,029,313.50 is: 1,617,067,525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,256,338.50 : 745,029,313.50 = 745,029,313.50 : x
  2. Step 2: Convert to fraction form
    343,256,338.50/745,029,313.50 = 745,029,313.50/x
  3. Step 3: Cross multiply
    343,256,338.50x = 745,029,313.50 × 745,029,313.50
  4. Step 4: Simplify right side
    343,256,338.50x = 555,068,677,974,281,280
  5. Step 5: Solve for x
    x = 555,068,677,974,281,280/343,256,338.50
  6. Step 6: Final answer
    x = 1,617,067,525.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.