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Finding the Third Proportional to 640,840,329 and 1,315,653,516

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Solution

The third proportional to 640,840,329 and 1,315,653,516 is: 2,701,053,750.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,840,329 : 1,315,653,516 = 1,315,653,516 : x
  2. Step 2: Convert to fraction form
    640,840,329/1,315,653,516 = 1,315,653,516/x
  3. Step 3: Cross multiply
    640,840,329x = 1,315,653,516 × 1,315,653,516
  4. Step 4: Simplify right side
    640,840,329x = 1,730,944,174,163,162,368
  5. Step 5: Solve for x
    x = 1,730,944,174,163,162,368/640,840,329
  6. Step 6: Final answer
    x = 2,701,053,750.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.