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Finding the Third Proportional to 317,564,259 and 661,225,821.94

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Solution

The third proportional to 317,564,259 and 661,225,821.94 is: 1,376,790,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,564,259 : 661,225,821.94 = 661,225,821.94 : x
  2. Step 2: Convert to fraction form
    317,564,259/661,225,821.94 = 661,225,821.94/x
  3. Step 3: Cross multiply
    317,564,259x = 661,225,821.94 × 661,225,821.94
  4. Step 4: Simplify right side
    317,564,259x = 437,219,587,596,922,432
  5. Step 5: Solve for x
    x = 437,219,587,596,922,432/317,564,259
  6. Step 6: Final answer
    x = 1,376,790,917.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.