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Finding the Third Proportional to 910,548 and 1,966,988.25

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Solution

The third proportional to 910,548 and 1,966,988.25 is: 4,249,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,548 : 1,966,988.25 = 1,966,988.25 : x
  2. Step 2: Convert to fraction form
    910,548/1,966,988.25 = 1,966,988.25/x
  3. Step 3: Cross multiply
    910,548x = 1,966,988.25 × 1,966,988.25
  4. Step 4: Simplify right side
    910,548x = 3,869,042,775,638.06
  5. Step 5: Solve for x
    x = 3,869,042,775,638.06/910,548
  6. Step 6: Final answer
    x = 4,249,136.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.