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Finding the Third Proportional to 388,313 and 830,614

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Solution

The third proportional to 388,313 and 830,614 is: 1,776,710.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,313 : 830,614 = 830,614 : x
  2. Step 2: Convert to fraction form
    388,313/830,614 = 830,614/x
  3. Step 3: Cross multiply
    388,313x = 830,614 × 830,614
  4. Step 4: Simplify right side
    388,313x = 689,919,616,996
  5. Step 5: Solve for x
    x = 689,919,616,996/388,313
  6. Step 6: Final answer
    x = 1,776,710.07

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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.