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Finding the Third Proportional to 211,312,483 and 291,986,988

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Solution

The third proportional to 211,312,483 and 291,986,988 is: 403,461,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,312,483 : 291,986,988 = 291,986,988 : x
  2. Step 2: Convert to fraction form
    211,312,483/291,986,988 = 291,986,988/x
  3. Step 3: Cross multiply
    211,312,483x = 291,986,988 × 291,986,988
  4. Step 4: Simplify right side
    211,312,483x = 85,256,401,161,312,144
  5. Step 5: Solve for x
    x = 85,256,401,161,312,144/211,312,483
  6. Step 6: Final answer
    x = 403,461,262.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.