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Finding the Third Proportional to 357,712 and 777,547.50

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Solution

The third proportional to 357,712 and 777,547.50 is: 1,690,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,712 : 777,547.50 = 777,547.50 : x
  2. Step 2: Convert to fraction form
    357,712/777,547.50 = 777,547.50/x
  3. Step 3: Cross multiply
    357,712x = 777,547.50 × 777,547.50
  4. Step 4: Simplify right side
    357,712x = 604,580,114,756.25
  5. Step 5: Solve for x
    x = 604,580,114,756.25/357,712
  6. Step 6: Final answer
    x = 1,690,130.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.