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Finding the Third Proportional to 129,298,240 and 287,294,289

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Solution

The third proportional to 129,298,240 and 287,294,289 is: 638,353,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,298,240 : 287,294,289 = 287,294,289 : x
  2. Step 2: Convert to fraction form
    129,298,240/287,294,289 = 287,294,289/x
  3. Step 3: Cross multiply
    129,298,240x = 287,294,289 × 287,294,289
  4. Step 4: Simplify right side
    129,298,240x = 82,538,008,492,015,520
  5. Step 5: Solve for x
    x = 82,538,008,492,015,520/129,298,240
  6. Step 6: Final answer
    x = 638,353,689.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.