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Finding the Third Proportional to 124,588 and 292,490

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Solution

The third proportional to 124,588 and 292,490 is: 686,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,588 : 292,490 = 292,490 : x
  2. Step 2: Convert to fraction form
    124,588/292,490 = 292,490/x
  3. Step 3: Cross multiply
    124,588x = 292,490 × 292,490
  4. Step 4: Simplify right side
    124,588x = 85,550,400,100
  5. Step 5: Solve for x
    x = 85,550,400,100/124,588
  6. Step 6: Final answer
    x = 686,666.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.