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Finding the Third Proportional to 317,415,632 and 490,276,438

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Solution

The third proportional to 317,415,632 and 490,276,438 is: 757,275,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,415,632 : 490,276,438 = 490,276,438 : x
  2. Step 2: Convert to fraction form
    317,415,632/490,276,438 = 490,276,438/x
  3. Step 3: Cross multiply
    317,415,632x = 490,276,438 × 490,276,438
  4. Step 4: Simplify right side
    317,415,632x = 240,370,985,657,967,840
  5. Step 5: Solve for x
    x = 240,370,985,657,967,840/317,415,632
  6. Step 6: Final answer
    x = 757,275,198.27

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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.