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Finding the Third Proportional to 489,792 and 756,528

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Solution

The third proportional to 489,792 and 756,528 is: 1,168,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,792 : 756,528 = 756,528 : x
  2. Step 2: Convert to fraction form
    489,792/756,528 = 756,528/x
  3. Step 3: Cross multiply
    489,792x = 756,528 × 756,528
  4. Step 4: Simplify right side
    489,792x = 572,334,614,784
  5. Step 5: Solve for x
    x = 572,334,614,784/489,792
  6. Step 6: Final answer
    x = 1,168,525.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.