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Finding the Third Proportional to 372,516 and 781,528

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Solution

The third proportional to 372,516 and 781,528 is: 1,639,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,516 : 781,528 = 781,528 : x
  2. Step 2: Convert to fraction form
    372,516/781,528 = 781,528/x
  3. Step 3: Cross multiply
    372,516x = 781,528 × 781,528
  4. Step 4: Simplify right side
    372,516x = 610,786,014,784
  5. Step 5: Solve for x
    x = 610,786,014,784/372,516
  6. Step 6: Final answer
    x = 1,639,623.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.