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Finding the Third Proportional to 315,342 and 709,623

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Solution

The third proportional to 315,342 and 709,623 is: 1,596,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,342 : 709,623 = 709,623 : x
  2. Step 2: Convert to fraction form
    315,342/709,623 = 709,623/x
  3. Step 3: Cross multiply
    315,342x = 709,623 × 709,623
  4. Step 4: Simplify right side
    315,342x = 503,564,802,129
  5. Step 5: Solve for x
    x = 503,564,802,129/315,342
  6. Step 6: Final answer
    x = 1,596,884.66

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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.