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Finding the Third Proportional to 145,423 and 307,613

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Solution

The third proportional to 145,423 and 307,613 is: 650,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,423 : 307,613 = 307,613 : x
  2. Step 2: Convert to fraction form
    145,423/307,613 = 307,613/x
  3. Step 3: Cross multiply
    145,423x = 307,613 × 307,613
  4. Step 4: Simplify right side
    145,423x = 94,625,757,769
  5. Step 5: Solve for x
    x = 94,625,757,769/145,423
  6. Step 6: Final answer
    x = 650,693.20

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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.