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Finding the Third Proportional to 256,751,619.75 and 390,037,244.63

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Solution

The third proportional to 256,751,619.75 and 390,037,244.63 is: 592,514,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,751,619.75 : 390,037,244.63 = 390,037,244.63 : x
  2. Step 2: Convert to fraction form
    256,751,619.75/390,037,244.63 = 390,037,244.63/x
  3. Step 3: Cross multiply
    256,751,619.75x = 390,037,244.63 × 390,037,244.63
  4. Step 4: Simplify right side
    256,751,619.75x = 152,129,052,194,662,080
  5. Step 5: Solve for x
    x = 152,129,052,194,662,080/256,751,619.75
  6. Step 6: Final answer
    x = 592,514,478.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.