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Finding the Third Proportional to 338,641 and 723,937

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Solution

The third proportional to 338,641 and 723,937 is: 1,547,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,641 : 723,937 = 723,937 : x
  2. Step 2: Convert to fraction form
    338,641/723,937 = 723,937/x
  3. Step 3: Cross multiply
    338,641x = 723,937 × 723,937
  4. Step 4: Simplify right side
    338,641x = 524,084,779,969
  5. Step 5: Solve for x
    x = 524,084,779,969/338,641
  6. Step 6: Final answer
    x = 1,547,611.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.