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Finding the Third Proportional to 317,364,944 and 490,409,320

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Solution

The third proportional to 317,364,944 and 490,409,320 is: 757,806,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,364,944 : 490,409,320 = 490,409,320 : x
  2. Step 2: Convert to fraction form
    317,364,944/490,409,320 = 490,409,320/x
  3. Step 3: Cross multiply
    317,364,944x = 490,409,320 × 490,409,320
  4. Step 4: Simplify right side
    317,364,944x = 240,501,301,142,862,400
  5. Step 5: Solve for x
    x = 240,501,301,142,862,400/317,364,944
  6. Step 6: Final answer
    x = 757,806,763.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.