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Finding the Third Proportional to 316,040 and 688,888

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Solution

The third proportional to 316,040 and 688,888 is: 1,501,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,040 : 688,888 = 688,888 : x
  2. Step 2: Convert to fraction form
    316,040/688,888 = 688,888/x
  3. Step 3: Cross multiply
    316,040x = 688,888 × 688,888
  4. Step 4: Simplify right side
    316,040x = 474,566,676,544
  5. Step 5: Solve for x
    x = 474,566,676,544/316,040
  6. Step 6: Final answer
    x = 1,501,603.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.