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Finding the Third Proportional to 631,222 and 977,855

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Solution

The third proportional to 631,222 and 977,855 is: 1,514,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,222 : 977,855 = 977,855 : x
  2. Step 2: Convert to fraction form
    631,222/977,855 = 977,855/x
  3. Step 3: Cross multiply
    631,222x = 977,855 × 977,855
  4. Step 4: Simplify right side
    631,222x = 956,200,401,025
  5. Step 5: Solve for x
    x = 956,200,401,025/631,222
  6. Step 6: Final answer
    x = 1,514,840.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.