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Finding the Third Proportional to 438,031.13 and 910,929.38

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Solution

The third proportional to 438,031.13 and 910,929.38 is: 1,894,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,031.13 : 910,929.38 = 910,929.38 : x
  2. Step 2: Convert to fraction form
    438,031.13/910,929.38 = 910,929.38/x
  3. Step 3: Cross multiply
    438,031.13x = 910,929.38 × 910,929.38
  4. Step 4: Simplify right side
    438,031.13x = 829,792,326,237.89
  5. Step 5: Solve for x
    x = 829,792,326,237.89/438,031.13
  6. Step 6: Final answer
    x = 1,894,368.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.