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Finding the Third Proportional to 314,842 and 679,437

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Solution

The third proportional to 314,842 and 679,437 is: 1,466,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,842 : 679,437 = 679,437 : x
  2. Step 2: Convert to fraction form
    314,842/679,437 = 679,437/x
  3. Step 3: Cross multiply
    314,842x = 679,437 × 679,437
  4. Step 4: Simplify right side
    314,842x = 461,634,636,969
  5. Step 5: Solve for x
    x = 461,634,636,969/314,842
  6. Step 6: Final answer
    x = 1,466,242.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.