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Finding the Third Proportional to 142,266,657 and 213,399,971

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Solution

The third proportional to 142,266,657 and 213,399,971 is: 320,099,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,266,657 : 213,399,971 = 213,399,971 : x
  2. Step 2: Convert to fraction form
    142,266,657/213,399,971 = 213,399,971/x
  3. Step 3: Cross multiply
    142,266,657x = 213,399,971 × 213,399,971
  4. Step 4: Simplify right side
    142,266,657x = 45,539,547,622,800,840
  5. Step 5: Solve for x
    x = 45,539,547,622,800,840/142,266,657
  6. Step 6: Final answer
    x = 320,099,934.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.