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Finding the Third Proportional to 621,312 and 931,008

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Solution

The third proportional to 621,312 and 931,008 is: 1,395,073.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,312 : 931,008 = 931,008 : x
  2. Step 2: Convert to fraction form
    621,312/931,008 = 931,008/x
  3. Step 3: Cross multiply
    621,312x = 931,008 × 931,008
  4. Step 4: Simplify right side
    621,312x = 866,775,896,064
  5. Step 5: Solve for x
    x = 866,775,896,064/621,312
  6. Step 6: Final answer
    x = 1,395,073.48

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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.