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Finding the Third Proportional to 53,377,428 and 116,543,869.50

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Solution

The third proportional to 53,377,428 and 116,543,869.50 is: 254,460,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,377,428 : 116,543,869.50 = 116,543,869.50 : x
  2. Step 2: Convert to fraction form
    53,377,428/116,543,869.50 = 116,543,869.50/x
  3. Step 3: Cross multiply
    53,377,428x = 116,543,869.50 × 116,543,869.50
  4. Step 4: Simplify right side
    53,377,428x = 13,582,473,518,033,030
  5. Step 5: Solve for x
    x = 13,582,473,518,033,030/53,377,428
  6. Step 6: Final answer
    x = 254,460,996.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.