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Finding the Third Proportional to 315,349 and 709,639

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Solution

The third proportional to 315,349 and 709,639 is: 1,596,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,349 : 709,639 = 709,639 : x
  2. Step 2: Convert to fraction form
    315,349/709,639 = 709,639/x
  3. Step 3: Cross multiply
    315,349x = 709,639 × 709,639
  4. Step 4: Simplify right side
    315,349x = 503,587,510,321
  5. Step 5: Solve for x
    x = 503,587,510,321/315,349
  6. Step 6: Final answer
    x = 1,596,921.22

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.