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Finding the Third Proportional to 145,386 and 311,788

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Solution

The third proportional to 145,386 and 311,788 is: 668,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,386 : 311,788 = 311,788 : x
  2. Step 2: Convert to fraction form
    145,386/311,788 = 311,788/x
  3. Step 3: Cross multiply
    145,386x = 311,788 × 311,788
  4. Step 4: Simplify right side
    145,386x = 97,211,756,944
  5. Step 5: Solve for x
    x = 97,211,756,944/145,386
  6. Step 6: Final answer
    x = 668,645.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.