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Finding the Third Proportional to 294,194,985 and 640,102,080

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Solution

The third proportional to 294,194,985 and 640,102,080 is: 1,392,718,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,194,985 : 640,102,080 = 640,102,080 : x
  2. Step 2: Convert to fraction form
    294,194,985/640,102,080 = 640,102,080/x
  3. Step 3: Cross multiply
    294,194,985x = 640,102,080 × 640,102,080
  4. Step 4: Simplify right side
    294,194,985x = 409,730,672,820,326,400
  5. Step 5: Solve for x
    x = 409,730,672,820,326,400/294,194,985
  6. Step 6: Final answer
    x = 1,392,718,073.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.