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Finding the Third Proportional to 1,547,207,160 and 3,339,435,756

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Solution

The third proportional to 1,547,207,160 and 3,339,435,756 is: 7,207,716,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,207,160 : 3,339,435,756 = 3,339,435,756 : x
  2. Step 2: Convert to fraction form
    1,547,207,160/3,339,435,756 = 3,339,435,756/x
  3. Step 3: Cross multiply
    1,547,207,160x = 3,339,435,756 × 3,339,435,756
  4. Step 4: Simplify right side
    1,547,207,160x = 11,151,831,168,451,291,136
  5. Step 5: Solve for x
    x = 11,151,831,168,451,291,136/1,547,207,160
  6. Step 6: Final answer
    x = 7,207,716,882.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.