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Finding the Third Proportional to 528,164 and 780,598

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Solution

The third proportional to 528,164 and 780,598 is: 1,153,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,164 : 780,598 = 780,598 : x
  2. Step 2: Convert to fraction form
    528,164/780,598 = 780,598/x
  3. Step 3: Cross multiply
    528,164x = 780,598 × 780,598
  4. Step 4: Simplify right side
    528,164x = 609,333,237,604
  5. Step 5: Solve for x
    x = 609,333,237,604/528,164
  6. Step 6: Final answer
    x = 1,153,681.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.