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Finding the Third Proportional to 430,030 and 917,090

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Solution

The third proportional to 430,030 and 917,090 is: 1,955,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,030 : 917,090 = 917,090 : x
  2. Step 2: Convert to fraction form
    430,030/917,090 = 917,090/x
  3. Step 3: Cross multiply
    430,030x = 917,090 × 917,090
  4. Step 4: Simplify right side
    430,030x = 841,054,068,100
  5. Step 5: Solve for x
    x = 841,054,068,100/430,030
  6. Step 6: Final answer
    x = 1,955,803.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.