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Finding the Third Proportional to 338,719 and 730,312

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Solution

The third proportional to 338,719 and 730,312 is: 1,574,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,719 : 730,312 = 730,312 : x
  2. Step 2: Convert to fraction form
    338,719/730,312 = 730,312/x
  3. Step 3: Cross multiply
    338,719x = 730,312 × 730,312
  4. Step 4: Simplify right side
    338,719x = 533,355,617,344
  5. Step 5: Solve for x
    x = 533,355,617,344/338,719
  6. Step 6: Final answer
    x = 1,574,625.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.