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Finding the Third Proportional to 141,970 and 312,746

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Solution

The third proportional to 141,970 and 312,746 is: 688,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,970 : 312,746 = 312,746 : x
  2. Step 2: Convert to fraction form
    141,970/312,746 = 312,746/x
  3. Step 3: Cross multiply
    141,970x = 312,746 × 312,746
  4. Step 4: Simplify right side
    141,970x = 97,810,060,516
  5. Step 5: Solve for x
    x = 97,810,060,516/141,970
  6. Step 6: Final answer
    x = 688,948.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.