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Finding the Third Proportional to 487,326 and 785,130

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Solution

The third proportional to 487,326 and 785,130 is: 1,264,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,326 : 785,130 = 785,130 : x
  2. Step 2: Convert to fraction form
    487,326/785,130 = 785,130/x
  3. Step 3: Cross multiply
    487,326x = 785,130 × 785,130
  4. Step 4: Simplify right side
    487,326x = 616,429,116,900
  5. Step 5: Solve for x
    x = 616,429,116,900/487,326
  6. Step 6: Final answer
    x = 1,264,921.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.