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Finding the Third Proportional to 402,920,955 and 876,780,297

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Solution

The third proportional to 402,920,955 and 876,780,297 is: 1,907,926,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,920,955 : 876,780,297 = 876,780,297 : x
  2. Step 2: Convert to fraction form
    402,920,955/876,780,297 = 876,780,297/x
  3. Step 3: Cross multiply
    402,920,955x = 876,780,297 × 876,780,297
  4. Step 4: Simplify right side
    402,920,955x = 768,743,689,207,408,256
  5. Step 5: Solve for x
    x = 768,743,689,207,408,256/402,920,955
  6. Step 6: Final answer
    x = 1,907,926,802.19

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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.