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Finding the Third Proportional to 509,787,364.25 and 787,200,905.75

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Solution

The third proportional to 509,787,364.25 and 787,200,905.75 is: 1,215,575,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,787,364.25 : 787,200,905.75 = 787,200,905.75 : x
  2. Step 2: Convert to fraction form
    509,787,364.25/787,200,905.75 = 787,200,905.75/x
  3. Step 3: Cross multiply
    509,787,364.25x = 787,200,905.75 × 787,200,905.75
  4. Step 4: Simplify right side
    509,787,364.25x = 619,685,266,013,620,352
  5. Step 5: Solve for x
    x = 619,685,266,013,620,352/509,787,364.25
  6. Step 6: Final answer
    x = 1,215,575,962.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.