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Finding the Third Proportional to 487,953 and 709,695

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Solution

The third proportional to 487,953 and 709,695 is: 1,032,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,953 : 709,695 = 709,695 : x
  2. Step 2: Convert to fraction form
    487,953/709,695 = 709,695/x
  3. Step 3: Cross multiply
    487,953x = 709,695 × 709,695
  4. Step 4: Simplify right side
    487,953x = 503,666,993,025
  5. Step 5: Solve for x
    x = 503,666,993,025/487,953
  6. Step 6: Final answer
    x = 1,032,203.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.