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Finding the Third Proportional to 577,392 and 907,020

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Solution

The third proportional to 577,392 and 907,020 is: 1,424,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,392 : 907,020 = 907,020 : x
  2. Step 2: Convert to fraction form
    577,392/907,020 = 907,020/x
  3. Step 3: Cross multiply
    577,392x = 907,020 × 907,020
  4. Step 4: Simplify right side
    577,392x = 822,685,280,400
  5. Step 5: Solve for x
    x = 822,685,280,400/577,392
  6. Step 6: Final answer
    x = 1,424,829.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.