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Finding the Third Proportional to 509,787,054.84 and 787,200,411.09

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Solution

The third proportional to 509,787,054.84 and 787,200,411.09 is: 1,215,575,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,787,054.84 : 787,200,411.09 = 787,200,411.09 : x
  2. Step 2: Convert to fraction form
    509,787,054.84/787,200,411.09 = 787,200,411.09/x
  3. Step 3: Cross multiply
    509,787,054.84x = 787,200,411.09 × 787,200,411.09
  4. Step 4: Simplify right side
    509,787,054.84x = 619,684,487,226,168,960
  5. Step 5: Solve for x
    x = 619,684,487,226,168,960/509,787,054.84
  6. Step 6: Final answer
    x = 1,215,575,172.69

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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.