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Finding the Third Proportional to 256,615,360 and 370,764,960

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Solution

The third proportional to 256,615,360 and 370,764,960 is: 535,691,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,615,360 : 370,764,960 = 370,764,960 : x
  2. Step 2: Convert to fraction form
    256,615,360/370,764,960 = 370,764,960/x
  3. Step 3: Cross multiply
    256,615,360x = 370,764,960 × 370,764,960
  4. Step 4: Simplify right side
    256,615,360x = 137,466,655,563,801,600
  5. Step 5: Solve for x
    x = 137,466,655,563,801,600/256,615,360
  6. Step 6: Final answer
    x = 535,691,454.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.