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Finding the Third Proportional to 476,329,076 and 1,021,578,216

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Solution

The third proportional to 476,329,076 and 1,021,578,216 is: 2,190,968,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,329,076 : 1,021,578,216 = 1,021,578,216 : x
  2. Step 2: Convert to fraction form
    476,329,076/1,021,578,216 = 1,021,578,216/x
  3. Step 3: Cross multiply
    476,329,076x = 1,021,578,216 × 1,021,578,216
  4. Step 4: Simplify right side
    476,329,076x = 1,043,622,051,405,742,592
  5. Step 5: Solve for x
    x = 1,043,622,051,405,742,592/476,329,076
  6. Step 6: Final answer
    x = 2,190,968,605.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.