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Finding the Third Proportional to 256,249,031 and 382,694,367

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Solution

The third proportional to 256,249,031 and 382,694,367 is: 571,533,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,249,031 : 382,694,367 = 382,694,367 : x
  2. Step 2: Convert to fraction form
    256,249,031/382,694,367 = 382,694,367/x
  3. Step 3: Cross multiply
    256,249,031x = 382,694,367 × 382,694,367
  4. Step 4: Simplify right side
    256,249,031x = 146,454,978,533,530,688
  5. Step 5: Solve for x
    x = 146,454,978,533,530,688/256,249,031
  6. Step 6: Final answer
    x = 571,533,784.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.