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Finding the Third Proportional to 319,020 and 671,088

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Solution

The third proportional to 319,020 and 671,088 is: 1,411,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,020 : 671,088 = 671,088 : x
  2. Step 2: Convert to fraction form
    319,020/671,088 = 671,088/x
  3. Step 3: Cross multiply
    319,020x = 671,088 × 671,088
  4. Step 4: Simplify right side
    319,020x = 450,359,103,744
  5. Step 5: Solve for x
    x = 450,359,103,744/319,020
  6. Step 6: Final answer
    x = 1,411,695.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.