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Finding the Third Proportional to 534,106,978 and 1,138,762,196

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Solution

The third proportional to 534,106,978 and 1,138,762,196 is: 2,427,939,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,106,978 : 1,138,762,196 = 1,138,762,196 : x
  2. Step 2: Convert to fraction form
    534,106,978/1,138,762,196 = 1,138,762,196/x
  3. Step 3: Cross multiply
    534,106,978x = 1,138,762,196 × 1,138,762,196
  4. Step 4: Simplify right side
    534,106,978x = 1,296,779,339,038,742,528
  5. Step 5: Solve for x
    x = 1,296,779,339,038,742,528/534,106,978
  6. Step 6: Final answer
    x = 2,427,939,331.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.