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Finding the Third Proportional to 504,033,345 and 790,678,876.50

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Solution

The third proportional to 504,033,345 and 790,678,876.50 is: 1,240,340,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,033,345 : 790,678,876.50 = 790,678,876.50 : x
  2. Step 2: Convert to fraction form
    504,033,345/790,678,876.50 = 790,678,876.50/x
  3. Step 3: Cross multiply
    504,033,345x = 790,678,876.50 × 790,678,876.50
  4. Step 4: Simplify right side
    504,033,345x = 625,173,085,743,302,272
  5. Step 5: Solve for x
    x = 625,173,085,743,302,272/504,033,345
  6. Step 6: Final answer
    x = 1,240,340,727.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.