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Finding the Third Proportional to 657,306 and 939,303

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Solution

The third proportional to 657,306 and 939,303 is: 1,342,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,306 : 939,303 = 939,303 : x
  2. Step 2: Convert to fraction form
    657,306/939,303 = 939,303/x
  3. Step 3: Cross multiply
    657,306x = 939,303 × 939,303
  4. Step 4: Simplify right side
    657,306x = 882,290,125,809
  5. Step 5: Solve for x
    x = 882,290,125,809/657,306
  6. Step 6: Final answer
    x = 1,342,282.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.