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Finding the Third Proportional to 319,453,468 and 490,719,642

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Solution

The third proportional to 319,453,468 and 490,719,642 is: 753,805,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,453,468 : 490,719,642 = 490,719,642 : x
  2. Step 2: Convert to fraction form
    319,453,468/490,719,642 = 490,719,642/x
  3. Step 3: Cross multiply
    319,453,468x = 490,719,642 × 490,719,642
  4. Step 4: Simplify right side
    319,453,468x = 240,805,767,044,608,160
  5. Step 5: Solve for x
    x = 240,805,767,044,608,160/319,453,468
  6. Step 6: Final answer
    x = 753,805,455.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.