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Finding the Third Proportional to 452,868,960 and 987,720,084

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Solution

The third proportional to 452,868,960 and 987,720,084 is: 2,154,245,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,868,960 : 987,720,084 = 987,720,084 : x
  2. Step 2: Convert to fraction form
    452,868,960/987,720,084 = 987,720,084/x
  3. Step 3: Cross multiply
    452,868,960x = 987,720,084 × 987,720,084
  4. Step 4: Simplify right side
    452,868,960x = 975,590,964,336,967,040
  5. Step 5: Solve for x
    x = 975,590,964,336,967,040/452,868,960
  6. Step 6: Final answer
    x = 2,154,245,599.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.