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Finding the Third Proportional to 145,579 and 316,789

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Solution

The third proportional to 145,579 and 316,789 is: 689,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,579 : 316,789 = 316,789 : x
  2. Step 2: Convert to fraction form
    145,579/316,789 = 316,789/x
  3. Step 3: Cross multiply
    145,579x = 316,789 × 316,789
  4. Step 4: Simplify right side
    145,579x = 100,355,270,521
  5. Step 5: Solve for x
    x = 100,355,270,521/145,579
  6. Step 6: Final answer
    x = 689,352.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.