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Finding the Third Proportional to 319,192,710.75 and 687,625,483.50

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Solution

The third proportional to 319,192,710.75 and 687,625,483.50 is: 1,481,327,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,192,710.75 : 687,625,483.50 = 687,625,483.50 : x
  2. Step 2: Convert to fraction form
    319,192,710.75/687,625,483.50 = 687,625,483.50/x
  3. Step 3: Cross multiply
    319,192,710.75x = 687,625,483.50 × 687,625,483.50
  4. Step 4: Simplify right side
    319,192,710.75x = 472,828,805,558,608,768
  5. Step 5: Solve for x
    x = 472,828,805,558,608,768/319,192,710.75
  6. Step 6: Final answer
    x = 1,481,327,078.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.