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Finding the Third Proportional to 145,776 and 315,732

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Solution

The third proportional to 145,776 and 315,732 is: 683,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,776 : 315,732 = 315,732 : x
  2. Step 2: Convert to fraction form
    145,776/315,732 = 315,732/x
  3. Step 3: Cross multiply
    145,776x = 315,732 × 315,732
  4. Step 4: Simplify right side
    145,776x = 99,686,695,824
  5. Step 5: Solve for x
    x = 99,686,695,824/145,776
  6. Step 6: Final answer
    x = 683,834.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.