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Finding the Third Proportional to 99,516 and 157,574

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Solution

The third proportional to 99,516 and 157,574 is: 249,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,516 : 157,574 = 157,574 : x
  2. Step 2: Convert to fraction form
    99,516/157,574 = 157,574/x
  3. Step 3: Cross multiply
    99,516x = 157,574 × 157,574
  4. Step 4: Simplify right side
    99,516x = 24,829,565,476
  5. Step 5: Solve for x
    x = 24,829,565,476/99,516
  6. Step 6: Final answer
    x = 249,503.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.