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Finding the Third Proportional to 145,136 and 307,889

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Solution

The third proportional to 145,136 and 307,889 is: 653,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,136 : 307,889 = 307,889 : x
  2. Step 2: Convert to fraction form
    145,136/307,889 = 307,889/x
  3. Step 3: Cross multiply
    145,136x = 307,889 × 307,889
  4. Step 4: Simplify right side
    145,136x = 94,795,636,321
  5. Step 5: Solve for x
    x = 94,795,636,321/145,136
  6. Step 6: Final answer
    x = 653,150.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.