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Finding the Third Proportional to 512,900,778 and 1,209,562,557

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Solution

The third proportional to 512,900,778 and 1,209,562,557 is: 2,852,484,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,900,778 : 1,209,562,557 = 1,209,562,557 : x
  2. Step 2: Convert to fraction form
    512,900,778/1,209,562,557 = 1,209,562,557/x
  3. Step 3: Cross multiply
    512,900,778x = 1,209,562,557 × 1,209,562,557
  4. Step 4: Simplify right side
    512,900,778x = 1,463,041,579,296,378,368
  5. Step 5: Solve for x
    x = 1,463,041,579,296,378,368/512,900,778
  6. Step 6: Final answer
    x = 2,852,484,617.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.