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Finding the Third Proportional to 157,220 and 243,633

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Solution

The third proportional to 157,220 and 243,633 is: 377,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,220 : 243,633 = 243,633 : x
  2. Step 2: Convert to fraction form
    157,220/243,633 = 243,633/x
  3. Step 3: Cross multiply
    157,220x = 243,633 × 243,633
  4. Step 4: Simplify right side
    157,220x = 59,357,038,689
  5. Step 5: Solve for x
    x = 59,357,038,689/157,220
  6. Step 6: Final answer
    x = 377,541.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.