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Finding the Third Proportional to 522,490 and 781,709

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Solution

The third proportional to 522,490 and 781,709 is: 1,169,532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,490 : 781,709 = 781,709 : x
  2. Step 2: Convert to fraction form
    522,490/781,709 = 781,709/x
  3. Step 3: Cross multiply
    522,490x = 781,709 × 781,709
  4. Step 4: Simplify right side
    522,490x = 611,068,960,681
  5. Step 5: Solve for x
    x = 611,068,960,681/522,490
  6. Step 6: Final answer
    x = 1,169,532.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.