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Finding the Third Proportional to 657,312 and 939,312

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Solution

The third proportional to 657,312 and 939,312 is: 1,342,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,312 : 939,312 = 939,312 : x
  2. Step 2: Convert to fraction form
    657,312/939,312 = 939,312/x
  3. Step 3: Cross multiply
    657,312x = 939,312 × 939,312
  4. Step 4: Simplify right side
    657,312x = 882,307,033,344
  5. Step 5: Solve for x
    x = 882,307,033,344/657,312
  6. Step 6: Final answer
    x = 1,342,295.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.