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Finding the Third Proportional to 355,478 and 577,528

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Solution

The third proportional to 355,478 and 577,528 is: 938,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,478 : 577,528 = 577,528 : x
  2. Step 2: Convert to fraction form
    355,478/577,528 = 577,528/x
  3. Step 3: Cross multiply
    355,478x = 577,528 × 577,528
  4. Step 4: Simplify right side
    355,478x = 333,538,590,784
  5. Step 5: Solve for x
    x = 333,538,590,784/355,478
  6. Step 6: Final answer
    x = 938,281.95

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.