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Finding the Third Proportional to 657,160 and 939,724

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Solution

The third proportional to 657,160 and 939,724 is: 1,343,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,160 : 939,724 = 939,724 : x
  2. Step 2: Convert to fraction form
    657,160/939,724 = 939,724/x
  3. Step 3: Cross multiply
    657,160x = 939,724 × 939,724
  4. Step 4: Simplify right side
    657,160x = 883,081,196,176
  5. Step 5: Solve for x
    x = 883,081,196,176/657,160
  6. Step 6: Final answer
    x = 1,343,784.16

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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.