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Finding the Third Proportional to 316,044 and 688,896

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Solution

The third proportional to 316,044 and 688,896 is: 1,501,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,044 : 688,896 = 688,896 : x
  2. Step 2: Convert to fraction form
    316,044/688,896 = 688,896/x
  3. Step 3: Cross multiply
    316,044x = 688,896 × 688,896
  4. Step 4: Simplify right side
    316,044x = 474,577,698,816
  5. Step 5: Solve for x
    x = 474,577,698,816/316,044
  6. Step 6: Final answer
    x = 1,501,619.07

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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.