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Finding the Third Proportional to 314,100 and 686,862

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Solution

The third proportional to 314,100 and 686,862 is: 1,502,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,100 : 686,862 = 686,862 : x
  2. Step 2: Convert to fraction form
    314,100/686,862 = 686,862/x
  3. Step 3: Cross multiply
    314,100x = 686,862 × 686,862
  4. Step 4: Simplify right side
    314,100x = 471,779,407,044
  5. Step 5: Solve for x
    x = 471,779,407,044/314,100
  6. Step 6: Final answer
    x = 1,502,003.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.