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Finding the Third Proportional to 318,155.34 and 686,125.69

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Solution

The third proportional to 318,155.34 and 686,125.69 is: 1,479,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,155.34 : 686,125.69 = 686,125.69 : x
  2. Step 2: Convert to fraction form
    318,155.34/686,125.69 = 686,125.69/x
  3. Step 3: Cross multiply
    318,155.34x = 686,125.69 × 686,125.69
  4. Step 4: Simplify right side
    318,155.34x = 470,768,459,047.35
  5. Step 5: Solve for x
    x = 470,768,459,047.35/318,155.34
  6. Step 6: Final answer
    x = 1,479,681.13

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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.